Stefan Bergman - Author Profile

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Bergman, Stefan (b. 1895 d. 1977)

Author ID:	bergman.stefan
Published as:	Bergman, Stefan; Bergmann, S.; Bergman, S.; Bergmann, Stefan; Bergmann, St. more...less
Further Spellings:	Бергман Стефан Брониславович
External Links:	MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef

Documents Indexed:	253 Publications since 1922, including 17 Books
Biographic References:	4 Publications
Co-Authors:	20 Co-Authors with 38 Joint Publications
	356 Co-Co-Authors

all top 5

Co-Authors

215	single-authored
17	Schiffer, Menahem Max
4	Herriot, John G.
4	Marcinkiewicz, Józef
2	Bojanic, Ranko
2	Duda, Roman
2	Knaster, Bronisław
2	Martin, William Ted
2	Mycielski, Jan
2	Schinzel, Andrzej
2	Spencer, Donald Clayton
1	Chalmers, Bruce Longworthy
1	Epstein, Bernard
1	Gilbarg, David
1	Greenstone, Leonard
1	Hahn, Kyong Taik
1	Loewner, Charles
1	Neyman, Jerzy
1	Reissner, Hans Jacob
1	Solomon, Herbert
1	Szegő, Gábor

all top 5

Serials

17	Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
14	Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
13	Mathematische Zeitschrift
11	Duke Mathematical Journal
11	Mathematische Annalen
11	Transactions of the American Mathematical Society
9	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
8	American Journal of Mathematics
8	Recueil Mathématique. Nouvelle Série
7	Bulletin of the American Mathematical Society
7	Journal of Mathematics and Physics
6	Journal d’Analyse Mathématique
6	Compositio Mathematica
6	Proceedings of the National Academy of Sciences of the United States of America
5	Journal für die Reine und Angewandte Mathematik
4	Numerische Mathematik
4	Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série
4	Proceedings. Akadamie van Wetenschappen Amsterdam
3	Pacific Journal of Mathematics
3	Quarterly of Applied Mathematics
3	Scripta Mathematica
3	Ergebnisse der Mathematik und ihrer Grenzgebiete
3	Journal of Rational Mechanics and Analysis
3	Mathematical Surveys
2	Archive for Rational Mechanics and Analysis
2	Bulletin des Sciences Mathématiques. Deuxième Série
2	Bulletin de la Société des Sciences et des Lettres de Łódź
2	Atti della Accademia Nazionale dei Lincei, Rendiconti, VI. Serie
2	Journal of Mathematics and Mechanics
2	Annals of Mathematics Studies
2	Mathematica
2	Annales Academiae Scientiarum Fennicae. Series A I
1	American Mathematical Monthly
1	Communications on Pure and Applied Mathematics
1	Rocky Mountain Journal of Mathematics
1	Mathematics of Computation
1	Prikladnaya Matematika i Mekhanika
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	Annales Polonici Mathematici
1	Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1	Colloquium Mathematicum
1	Fundamenta Mathematicae
1	Proceedings of the American Mathematical Society
1	Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne
1	Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1	Mathematical Tables and other Aids to Computation
1	Die Naturwissenschaften
1	Rendiconti Di Matematica e Delle Sue Applicazioni, V. Serie
1	Revista de Ciencias, Lima
1	Applied Mathematics and Mechanics
1	Pure and Applied Mathematics (Academic Press)
1	Translations. Series 2. American Mathematical Society
1	Berichte der Gesellschaft für Mathematik und Datenverarbeitung, Bonn

all top 5

Fields

21	Several complex variables and analytic spaces (32-XX)
9	Partial differential equations (35-XX)
6	Fluid mechanics (76-XX)
5	Functions of a complex variable (30-XX)
1	History and biography (01-XX)
1	Special functions (33-XX)
1	Operator theory (47-XX)
1	Manifolds and cell complexes (57-XX)
1	Mechanics of deformable solids (74-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

140 Publications have been cited 1,243 times in 821 Documents	Cited by ▼	Year ▼
The kernel function and conformal mapping. Zbl 0040.19001 Bergman, Stefan	180	1950
The kernel function and conformal mapping. 2nd ed. Zbl 0208.34302 Bergman, S.	154	1970
Kernel functions and elliptic differential equations in mathematical physics. Zbl 0053.39003 Bergman, Stefan; Schiffer, M.	149	1953
Kernel functions and conformal mapping. Zbl 0043.08403 Bergman, S.; Schiffer, M.	73	1951
Integral operators in the theory of linear partial differential equations. Zbl 0093.28701 Bergman, Stefan	52	1961
Integral operators in the theory of linear partial differential equations. 2nd revised printing. Zbl 0176.08501 Bergman, Stefan	32	1969
Über die Entwicklung der harmonischen Funktionen der Ebene und des Raumes nach Orthogonalfunktionen. JFM 48.1236.02 Bergmann, St.	29	1922
Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. JFM 58.0352.02 Bergmann, S.	27	1932
Integral operators in the theory of linear partial differential equations. 3rd printing. Zbl 0209.40002 Bergman, Stefan	21	1971
Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. Zbl 0036.05101 Bergmann, Stefan	19	1947
The kernel function and conformal mapping. Reprint. Zbl 0473.30006 Bergman, Stefan	16	1980
Zur Theorie der algebraischen Potentialfunktionen des dreidimensionalen Raumes. I, II. JFM 54.0514.02 Bergmann, St.	16	1928
A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order. Zbl 0029.39901 Bergman, S.; Schiffer, M.	13	1947
Kernel functions in the theory of partial differential equations of elliptic type. Zbl 0030.25503 Bergman, S.; Schiffer, M.	13	1948
Über die Existenz von Repräsentantenbereichen in der Theorie der Abbildung durch Paare von Funktionen zweier komplexen Veränderlichen. JFM 55.0786.02 Bergmann, St.	11	1930
Zur Theorie der ein- und mehrwertigen harmonischen Funktionen des dreidimensionalen Raumes. JFM 52.0487.03 Bergmann, S.	11	1926
Zur Theorie der pseudokonformen Abbildungen. JFM 62.0400.02 Bergmann, S.	11	1936
Sur la fonction-noyau d’un domaine et ses applications dans la théorie des transformations pseudoconformes. Zbl 0036.05201 Bergmann, Stefan	11	1948
Zur Theorie der Funktionen, die eine lineare partielle Differentialgleichung befriedigen. I. JFM 63.0463.01 Bergmann, S.	10	1937
Über eine in gewissen Bereichen mit Maximumfläche gültige Integraldarstellung der Funktionen zweier komplexer Variabler. I. Zbl 0009.26202 Bergmann, Stefan	10	1934
Some linear operators in the theory of partial differential equations. Zbl 0039.31903 Bergman, S.; Schiffer, M.	10	1950
Linear operators in the theory of partial differential equations. Zbl 0063.00310 Bergman, Stefan	10	1943
Studies in mathematical analysis and related topics. Essays in Honor of George Polya. Zbl 0112.03601 Szegö, Gábor; Loewner, C.; Bergman, S.; Schiffer, M. M.; Neyman, J.; Gilbarg, D.; Solomon, Herbert	9	1962
Functions of extended class in the theory of functions of several complex variables. Zbl 0034.05304 Bergman, Stefan	9	1948
Classes of solutions of linear partial differential equations in three variables. Zbl 0063.00317 Bergman, Stefan	9	1946
Über eine Integraldarstellung von Funktionen zweier komplexer Veränderlichen. JFM 62.1220.04 Bergmann, S.	8	1936
A procedure for conformal mapping of triply-connected domains. Zbl 0154.41203 Bergman, S.; Chalmers, B.	8	1967
On solutions with algebraic character of linear partial differential equations. Zbl 0038.23103 Bergman, Stefan	8	1950
Residue theorems of harmonic functions of three variables. Zbl 0063.00308 Bergman, Stefan	8	1943
Integral operators in the theory of linear partial differential equations. (Интегральные операторы в теории линейных уравнений с частными производными) (Translation from the English by L. A. Markushevich. Edited by I. I. Danilyuk.) Zbl 0121.07802 Bergman, Stefan	7	1964
Some properties of a harmonic function of three variables given by its series development. Zbl 0099.30603 Bergman, Stefan	7	1961
Application of the method of the kernel function for solving boundary- value problems. Zbl 0106.10703 Bergman, Stefan; Herriot, John G.	7	1961
Numerical solution of boundary-value problems by the method of integral operators. Zbl 0133.08903 Bergman, Stefan; Herriot, John G.	7	1965
Certain classes of analytic functions of two real variables and their properties. Zbl 0063.00314 Bergman, Stefan	7	1945
Über Hermitesche unendliche Formen, die zu einem Bereiche gehören, nebst Anwendungen auf Fragen der Abbildung durch Funktionen von zwei komplexen Veränderlichen. JFM 55.0786.01 Bergmann, St.	6	1929
The approximation of functions satisfying a linear partial differential equation. Zbl 0023.31902 Bergman, Stefan	6	1940
On solutions of linear partial differential equations of mixed type. Zbl 0046.32102 Bergman, Stefan	6	1952
Solutions of linear partial differential equations of the fourth order. Zbl 0063.00312 Bergman, Stefan	6	1944
A class of harmonic functions in three variables and their properties. Zbl 0063.00319 Bergman, Stefan	6	1946
Kernel functions and elliptic differential equations in mathematical physics. Reprint of the 1953 original published by Academic Press. Zbl 1204.35004 Bergman, Stefan; Schiffer, Menahem	6	2005
Über Kurvenintegrale von Funktionen zweier komplexer Veränderlichen, die die Differentialgleichung \(\varDelta V+V=0\) befriedigen. JFM 56.0291.05 Bergmann, S.	5	1930
Zur Theorie der algebraischen Potentialfunktionen des dreidimensionalen Raumes. II. JFM 55.0289.03 Bergmann, St.	5	1929
Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. JFM 67.0299.03 Bergmann, S.	5	1941
On Green’s and Neumann’s function in the theory of partial differential equations. Zbl 0032.35201 Bergman, S.; Schiffer, M.	5	1947
Two-dimensional transonic flow patterns. Zbl 0035.06401 Bergman, Stefan	5	1948
Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. II. Zbl 0010.30905 Bergmann, Stefan	5	1934
Essential singularities of solutions of a class of linear partial differential equations in three variables. Zbl 0057.08603 Bergman, Stefan	5	1954
The behavior of the kernel function at boundary points of the second order. Zbl 0060.24203 Bergman, Stefan	5	1943
Über die Bestimmung der Verzweigungspunkte eines hyperelliptischen Integrals aus seinen Periodizitätsmoduln mit Anwendungen auf die Theorie des Transformators. JFM 49.0269.01 Bergmann, St.	4	1923
Operators generating solutions of certain differential equations in three variables and their properties. Zbl 0106.07802 Bergman, Stefan	4	1961
Distinguished sets of invariants in the theory of pseudo-conformal transformations. Zbl 0138.06202 Bergman, Stefan	4	1964
Application of the kernel function for the computation of flows of compressible fluids. Zbl 0167.54902 Bergman, S.	4	1968
Zur Theorie von pseudokonformen Abbildungen. Zbl 0014.02603 Bergmann, Stefan	4	1936
Functions satisfying certain partial differential equations of elliptic type and their representation. Zbl 0029.39803 Bergman, Stefan	4	1947
A formula for the stream function of certain flows. Zbl 0063.00309 Bergman, Stefan	4	1943
Über ausgezeichnete Randflächen in der Theorie der Funktionen von zwei komplexen Veränderlichen. Zbl 0001.21502 Bergmann, Stefan	4	1931
Mehrdeutige Lösungen bei Potentialströmungen mit freien Grenzen. Zbl 0004.31607 Bergmann, Stefan	4	1932
Properties of solutions of a system of partial differential equations. Zbl 0056.32003 Bergman, Stefan; Schiffer, M. M.	4	1954
Bounds for analysic functions in domains with a distinguished boundary surface. Zbl 0065.31204 Bergman, Stefan	4	1955
Interior distinguished points in the theory of functions of two complex variables. Zbl 0158.08302 Bergman, Stefan	4	1967
Über ausgezeichnete Randflächen in der Theorie der Funktionen von zwei komplexen Veränderlichen. JFM 57.0386.03 Bergmann, S.	3	1931
Über den Wertevorrat einer Funktion von zwei komplexen Veränderlichen. JFM 58.0352.01 Bergmann, S.	3	1932
Zwei Sätze über Funktionen von zwei komplexen Veränderlichen. JFM 54.0374.02 Bergmann, St.	3	1928
Über quadratische Formen, die zu einem Bereich gehören. JFM 53.0315.04 Bergmann, S.	3	1927
On the coefficient problem in the theory of a system of linear partial differential equations. Zbl 0119.08001 Bergman, S.	3	1963
Integral operators in the study of an algebra and of a coefficient problem in the theory of three-dimensional harmonic functions. Zbl 0119.08803 Bergman, S.	3	1963
Value distribution of meromorphic functions of two complex variables. Zbl 0168.32803 Bergman, S.	3	1962
On an initial value problem in the theory of two-dimensional transonic flow patterns. Zbl 0191.39803 Bergman, S.	3	1970
Sur quelques propriétés des transformations par un couple de fonctions de deux variables complexes. JFM 60.0276.01 Bergmann, S.	3	1934
Some properties of pseudo-conformal images of circular domains in the theory of two complex variables. Zbl 0168.06002 Bergman, S.	3	1965
The number of intersection points of two analytic surfaces in the space of two complex variables. Zbl 0192.18303 Bergman, Stefan	3	1960
Über das Verhalten der Funktionen von zwei komplexen Veränderlichen in Gebieten mit einer ausgezeichneten Randfläche. JFM 64.1081.04 Bergmann, S.	3	1938
Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. I. Zbl 0006.06604 Bergmann, Stefan	3	1932
Punch-card machine methods applied to the solution of the torsion problem. Zbl 0029.27302 Bergman, Stefan	3	1947
An initial value problem for a class of equations of mixed type. Zbl 0037.19204 Bergman, Stefan	3	1949
Various kernels in the theory of partial differential equations. Zbl 0039.31902 Bergman, S.; Schiffer, M.	3	1950
Bounded functions of two complex variables. Zbl 0060.24204 Bergman, Stefan; Schiffer, Menahem	3	1944
Zwei Sätze aus dem Ideenkreis des Schwarzschen Lemmas über die Funktionen von zwei komplexen Veränderlichen. Zbl 0008.21602 Bergmann, Stefan	3	1934
Über meromorphe Funktionen von zwei komplexen Veränderlichen. Zbl 0020.37901 Bergmann, Stefan	3	1939
Two dimensional subsonic flows of a compressible fluid and their singularities. Zbl 0032.22902 Bergman, Stefan	3	1947
Construction of a complete set of solutions of a linear partial differential equation in two variables, by use of punch card machines. Zbl 0061.29701 Bergman, Stefan	3	1946
Bounds for solutions of a system of partial differential equations. Zbl 0073.08304 Bergman, Stefan	3	1956
Über die Abbildungen durch Paare von Funktionen von zwei komplexen Veränderlichen. JFM 56.0294.03 Bergmann, St.	2	1930
Über die Bestimmung der elastischen Spannungen und Verschiebungen in einem konvexen Körper. JFM 53.0752.05 Bergmann, St.	2	1927
A class of pseudo-conformal and quasi-pseudo-conformal mappings. Zbl 0089.05702 Bergman, Stefan	2	1958
Sur les singularites des fonctions harmoniques de trois variables. Zbl 0139.28502 Bergman, S.	2	1962
Über eine Abschätzung von meromorphen Funktionen zweier Veränderlicher in Bereichen mit ausgezeichneter Randfläche. JFM 63.0310.01 Bergmann, S.	2	1937
Sur les fonctions analytiques de deux variables complexes. JFM 65.1245.01 Bergmann, S.; Marcinkiewicz, J.	2	1939
On pseudo-conformal images of circular domains. Zbl 0181.08802 Bergman, S.	2	1969
On the kernel function of a domain and its boundary behavior. I, II. (Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. I, II.) JFM 60.1025.01 Bergmann, Stefan	2	1932
Operator methods in the theory of compressible fluids. Zbl 0036.13502 Bergman, Stefan	2	1949
The coefficient problem in the theory of linear partial differential equations. Zbl 0047.34201 Bergman, Stefan	2	1952
Potential-theoretic methods in the theory of functions of two complex variables. Zbl 0049.06403 Bergman, S.; Schiffer, M.	2	1952
Theory of kernel functions in conformal mapping. Zbl 0049.17601 Bergman, S.; Schiffer, M.	2	1952
The method of the minimum integral and analytic continuation of functions of complex variables. Zbl 0060.24106 Bergman, Stefan	2	1941
Boundary values of functions satisfying a linear partial differential equation of elliptic type. Zbl 0061.23803 Bergman, Stefan	2	1940
Multivalued harmonic functions in three variables. Zbl 0070.32703 Bergman, Stefan	2	1956
On singularities of solutions of certain differential equations in three variables. Zbl 0079.11802 Bergman, Stefan	2	1957
Properties of solutions of certain differential equations in three variables. Zbl 0079.11803 Bergman, Stefan	2	1958
A remark on the mapping of multiply-connected domains. Zbl 0061.15602 Bergman, Stefan	2	1946
Kernel functions and elliptic differential equations in mathematical physics. Reprint of the 1953 original published by Academic Press. Zbl 1204.35004 Bergman, Stefan; Schiffer, Menahem	6	2005
The kernel function and conformal mapping. Reprint. Zbl 0473.30006 Bergman, Stefan	16	1980
On value distribution of an analytic function of two complex variables in a polyhedron. Zbl 0475.32003 Bergman, Stefan	2	1978
Some properties of pseudo-conformal images of Reinhardt circular domains. Zbl 0269.32011 Bergman, Stefan; Hahn, Kyong T.	1	1972
Integral operators in the theory of linear partial differential equations. 3rd printing. Zbl 0209.40002 Bergman, Stefan	21	1971
The kernel function and conformal mapping. 2nd ed. Zbl 0208.34302 Bergman, S.	154	1970
On an initial value problem in the theory of two-dimensional transonic flow patterns. Zbl 0191.39803 Bergman, S.	3	1970
Integral operators in the theory of linear partial differential equations. 2nd revised printing. Zbl 0176.08501 Bergman, Stefan	32	1969
On pseudo-conformal images of circular domains. Zbl 0181.08802 Bergman, S.	2	1969
Application of the kernel function for the computation of flows of compressible fluids. Zbl 0167.54902 Bergman, S.	4	1968
A procedure for conformal mapping of triply-connected domains. Zbl 0154.41203 Bergman, S.; Chalmers, B.	8	1967
Interior distinguished points in the theory of functions of two complex variables. Zbl 0158.08302 Bergman, Stefan	4	1967
Application of integral operators to singular differential equations and to computations of compressible fluid flows. Zbl 0141.42801 Bergman, S.	1	1966
Approximation of harmonic functions of three variables by harmonic polynomials. Zbl 0163.13902 Bergman, S.	1	1966
Numerical solution of boundary-value problems by the method of integral operators. Zbl 0133.08903 Bergman, Stefan; Herriot, John G.	7	1965
Some properties of pseudo-conformal images of circular domains in the theory of two complex variables. Zbl 0168.06002 Bergman, S.	3	1965
Applications of integral operators in the theory of compressible fluids. Zbl 0208.54501 Bergman, S.	1	1965
On boundary behavior of some domain functionals in the theory of functions of two complex variables. Zbl 0206.36602 Bergman, S.	1	1965
Integral operators in the theory of linear partial differential equations. (Интегральные операторы в теории линейных уравнений с частными производными) (Translation from the English by L. A. Markushevich. Edited by I. I. Danilyuk.) Zbl 0121.07802 Bergman, Stefan	7	1964
Distinguished sets of invariants in the theory of pseudo-conformal transformations. Zbl 0138.06202 Bergman, Stefan	4	1964
On the coefficient problem in the theory of a system of linear partial differential equations. Zbl 0119.08001 Bergman, S.	3	1963
Integral operators in the study of an algebra and of a coefficient problem in the theory of three-dimensional harmonic functions. Zbl 0119.08803 Bergman, S.	3	1963
The distinguished boundary sets and value distribution of functions of two complex variables. Zbl 0141.27302 Bergman, S.	1	1963
Studies in mathematical analysis and related topics. Essays in Honor of George Polya. Zbl 0112.03601 Szegö, Gábor; Loewner, C.; Bergman, S.; Schiffer, M. M.; Neyman, J.; Gilbarg, D.; Solomon, Herbert	9	1962
Value distribution of meromorphic functions of two complex variables. Zbl 0168.32803 Bergman, S.	3	1962
Sur les singularites des fonctions harmoniques de trois variables. Zbl 0139.28502 Bergman, S.	2	1962
Nouvelles remarques sur les singularites des fonctions harmoniques de trois variables. Zbl 0139.28601 Bergman, S.	1	1962
Integral operators in the theory of linear partial differential equations. Zbl 0093.28701 Bergman, Stefan	52	1961
Some properties of a harmonic function of three variables given by its series development. Zbl 0099.30603 Bergman, Stefan	7	1961
Application of the method of the kernel function for solving boundary- value problems. Zbl 0106.10703 Bergman, Stefan; Herriot, John G.	7	1961
Operators generating solutions of certain differential equations in three variables and their properties. Zbl 0106.07802 Bergman, Stefan	4	1961
The number of intersection points of two analytic surfaces in the space of two complex variables. Zbl 0192.18303 Bergman, Stefan	3	1960
A class of pseudo-conformal and quasi-pseudo-conformal mappings. Zbl 0089.05702 Bergman, Stefan	2	1958
Properties of solutions of certain differential equations in three variables. Zbl 0079.11803 Bergman, Stefan	2	1958
Operators generating solutions of certain partial differential equations in three variables and their properties. I. Zbl 0084.07301 Bergman, Stefan	1	1958
A class of quasi-conformal transformations in the theory of functions of two complex variables. Zbl 0085.06701 Bergman, Stefan	1	1958
On singularities of solutions of certain differential equations in three variables. Zbl 0079.11802 Bergman, Stefan	2	1957
Bounds for solutions of a system of partial differential equations. Zbl 0073.08304 Bergman, Stefan	3	1956
Multivalued harmonic functions in three variables. Zbl 0070.32703 Bergman, Stefan	2	1956
New methods for solving boundary value problems. Zbl 0070.32102 Bergman, Stefan	1	1956
Bounds for analysic functions in domains with a distinguished boundary surface. Zbl 0065.31204 Bergman, Stefan	4	1955
On representation of stream functions of subsonic and supersonic flows of compressible fluids. Zbl 0068.38805 Bergman, Stefan	2	1955
Essential singularities of solutions of a class of linear partial differential equations in three variables. Zbl 0057.08603 Bergman, Stefan	5	1954
Properties of solutions of a system of partial differential equations. Zbl 0056.32003 Bergman, Stefan; Schiffer, M. M.	4	1954
On zero and pole surfaces of functions of two complex variables. Zbl 0059.07204 Bergman, Stefan	1	1954
Kernel functions and elliptic differential equations in mathematical physics. Zbl 0053.39003 Bergman, Stefan; Schiffer, M.	149	1953
A theorem of Green’s type for functions of two complex variables. Zbl 0050.30605 Bergman, Stefan	1	1953
On solutions of linear partial differential equations of mixed type. Zbl 0046.32102 Bergman, Stefan	6	1952
The coefficient problem in the theory of linear partial differential equations. Zbl 0047.34201 Bergman, Stefan	2	1952
Potential-theoretic methods in the theory of functions of two complex variables. Zbl 0049.06403 Bergman, S.; Schiffer, M.	2	1952
Theory of kernel functions in conformal mapping. Zbl 0049.17601 Bergman, S.; Schiffer, M.	2	1952
Operatorenmethoden in der Gasdynamik. Zbl 0046.19002 Bergman, Stefan	1	1952
Geometric and potential-theoretical methods in the theory of functions of several complex variables. Zbl 0049.18202 Bergman, Stefan	1	1952
Kernel functions and conformal mapping. Zbl 0043.08403 Bergman, S.; Schiffer, M.	73	1951
A majorant method for non-linear partial differential equations. Zbl 0043.31603 Bergman, S.; Schiffer, M.	1	1951
Kernel functions and partial differential equations. I. Boundary value problems in the theory of nonlinear partial differential equations of elliptic type. Zbl 0045.37101 Bergman, S.; Schiffer, M.	1	1951
The kernel function and conformal mapping. Zbl 0040.19001 Bergman, Stefan	180	1950
Some linear operators in the theory of partial differential equations. Zbl 0039.31903 Bergman, S.; Schiffer, M.	10	1950
On solutions with algebraic character of linear partial differential equations. Zbl 0038.23103 Bergman, Stefan	8	1950
Various kernels in the theory of partial differential equations. Zbl 0039.31902 Bergman, S.; Schiffer, M.	3	1950
An initial value problem for a class of equations of mixed type. Zbl 0037.19204 Bergman, Stefan	3	1949
Operator methods in the theory of compressible fluids. Zbl 0036.13502 Bergman, Stefan	2	1949
Kernel functions in the theory of partial differential equations of elliptic type. Zbl 0030.25503 Bergman, S.; Schiffer, M.	13	1948
Sur la fonction-noyau d’un domaine et ses applications dans la théorie des transformations pseudoconformes. Zbl 0036.05201 Bergmann, Stefan	11	1948
Functions of extended class in the theory of functions of several complex variables. Zbl 0034.05304 Bergman, Stefan	9	1948
Two-dimensional transonic flow patterns. Zbl 0035.06401 Bergman, Stefan	5	1948
Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. Zbl 0036.05101 Bergmann, Stefan	19	1947
A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order. Zbl 0029.39901 Bergman, S.; Schiffer, M.	13	1947
On Green’s and Neumann’s function in the theory of partial differential equations. Zbl 0032.35201 Bergman, S.; Schiffer, M.	5	1947
Functions satisfying certain partial differential equations of elliptic type and their representation. Zbl 0029.39803 Bergman, Stefan	4	1947
Punch-card machine methods applied to the solution of the torsion problem. Zbl 0029.27302 Bergman, Stefan	3	1947
Two dimensional subsonic flows of a compressible fluid and their singularities. Zbl 0032.22902 Bergman, Stefan	3	1947
Numerical determination by use of special computational devices of an integral operator in the theory of compressible fluids. I. Determination of the coefficients of the integral operator by the use of punch card machines. Zbl 0038.28301 Bergman, Stefan; Greenstone, Leonard	1	1947
Classes of solutions of linear partial differential equations in three variables. Zbl 0063.00317 Bergman, Stefan	9	1946
A class of harmonic functions in three variables and their properties. Zbl 0063.00319 Bergman, Stefan	6	1946
Construction of a complete set of solutions of a linear partial differential equation in two variables, by use of punch card machines. Zbl 0061.29701 Bergman, Stefan	3	1946
A remark on the mapping of multiply-connected domains. Zbl 0061.15602 Bergman, Stefan	2	1946
On supersonic and partially supersonic flows. Zbl 0063.00318 Bergman, Stefan	2	1946
Certain classes of analytic functions of two real variables and their properties. Zbl 0063.00314 Bergman, Stefan	7	1945
On two-dimensional flows of compressible fluids. Zbl 0063.00315 Bergman, Stefan	2	1945
Graphical and analytical methods for the determination of a flow of a compressible fluid around an obstacle. Zbl 0063.00316 Bergman, Stefan	1	1945
Solutions of linear partial differential equations of the fourth order. Zbl 0063.00312 Bergman, Stefan	6	1944
Bounded functions of two complex variables. Zbl 0060.24204 Bergman, Stefan; Schiffer, Menahem	3	1944
The determination of some properties of a function satisfying a partial differential equation from its series development. Zbl 0063.00311 Bergman, Stefan	2	1944
Linear operators in the theory of partial differential equations. Zbl 0063.00310 Bergman, Stefan	10	1943
Residue theorems of harmonic functions of three variables. Zbl 0063.00308 Bergman, Stefan	8	1943
The behavior of the kernel function at boundary points of the second order. Zbl 0060.24203 Bergman, Stefan	5	1943
A formula for the stream function of certain flows. Zbl 0063.00309 Bergman, Stefan	4	1943
Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. JFM 67.0299.03 Bergmann, S.	5	1941
The method of the minimum integral and analytic continuation of functions of complex variables. Zbl 0060.24106 Bergman, Stefan	2	1941
Über uneigentliche Flächenintegrale in der Theorie der analytischen Funktionen von zwei komplexen Veränderlichen. Zbl 0060.24107 Bergman, Stefan	1	1941
On the surface integrals of functions of two complex variables. Zbl 0025.26203 Bergman, Stefan	1	1941
On a generalized Green’s function and certain of its applications. Zbl 0027.21603 Bergman, Stefan	1	1941
The approximation of functions satisfying a linear partial differential equation. Zbl 0023.31902 Bergman, Stefan	6	1940
Boundary values of functions satisfying a linear partial differential equation of elliptic type. Zbl 0061.23803 Bergman, Stefan	2	1940
A modified moment problem in two variables. Zbl 0024.02703 Bergman, Stefan; Martin, W. T.	1	1940
Über meromorphe Funktionen von zwei komplexen Veränderlichen. Zbl 0020.37901 Bergmann, Stefan	3	1939
Sur les fonctions analytiques de deux variables complexes. JFM 65.1245.01 Bergmann, S.; Marcinkiewicz, J.	2	1939
Über die Kernfunktion gewisser Reinhardtscher Kreiskörper. JFM 65.0361.02 Bergmann, S.	1	1939
Über das Verhalten der Funktionen von zwei komplexen Veränderlichen in Gebieten mit einer ausgezeichneten Randfläche. JFM 64.1081.04 Bergmann, S.	3	1938
...and 40 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 762 Authors

33	Bergman, Stefan
23	Gilbert, Robert Pertsch
16	Colton, David Lem
15	Kreyszig, Erwin
15	Schippers, Eric D.
14	Burbea, Jacob
13	Bell, Steven R.
12	McCoy, Peter A.
12	Schiffer, Menahem Max
11	Staubach, Wolfgang
9	Papamichael, Nicolas
8	Bi, Hai
8	Hedenmalm, Håkan
8	Karapetyants, Alekseĭ Nikolaevich
8	Yang, Yidu
7	Akgül, Ali
7	Davis, Philip J.
7	Engliš, Miroslav
7	Krantz, Steven George
7	Putinar, Mihai
7	Sario, Leo
6	González-Cervantes, José Óscar
6	Nehari, Zeev
6	Samko, Stefan Grigor’evich
6	Wang, An
5	Garabedian, Paul Roesel
5	Howard, Henry Cobourn
5	Kracht, Manfred W.
5	Kravchenko, Vladislav Viktorovich
5	Mitchell, Josephine
5	Park, Jong-Do
5	Zhang, Liyou
4	Babuška, Ivo
4	Bremermann, Hans Joachim
4	Colombo, Fabrizio
4	Guan, Qi’an
4	Herbort, Gregor
4	Herriot, John G.
4	Ion, D. B.
4	Meschkowski, Herbert
4	Nazarov, G. I.
4	Ozawa, Mitsuru
4	Pillonetto, Gianluigi
4	Sabadini, Irene
4	Shapiro, Harold Seymour
4	Shen, Yuliang
4	Suita, Nobuyuki
4	Walsh, Joseph Leonard
4	Xu, Fei
3	Abbasbandy, Saeid
3	Airault, Hélène
3	Arazy, Jonathan
3	Aronsson, Gunnar
3	Auchmuty, Giles
3	Bakhtiari, Parisa
3	Bory Reyes, Juan
3	Chacón, Gerardo R.
3	Chalmers, Bruce Longworthy
3	Diederich, Klas
3	Duff, George Francis Denton
3	Eynard, Bertrand
3	FitzGerald, Carl H.
3	Grow, David E.
3	Gustafsson, Bjorn
3	Hayrapetyan, F. V.
3	Khavinson, Dmitry S.
3	Kim, Kang-Tae
3	Klingelhöfer, Klaus
3	Kraußhar, Rolf Sören
3	Legg, Alan R.
3	Li, Zi-Cai
3	Melenk, Jens Markus
3	Nakai, Mitsuru
3	Nashed, M. Zuhair
3	Nasser, Mohamed M. S.
3	Ohsawa, Takeo
3	Pessoa, Luís V.
3	Pollak, Henry O.
3	Popescu, Gelu
3	Radnell, David
3	Rafeiro, Humberto
3	Raimondo, Roberto C.
3	Razali, M. R. M.
3	Rosenthal, Paul H.
3	Saff, Edward Barry
3	Saitoh, Saburou
3	Sarkar, Amar Deep
3	Shimorin, Serguei
3	Skwarczyński, Maciej L.
3	Spencer, Donald Clayton
3	van Gorder, Robert Ashton
3	Vicente-Benítez, Víctor A.
3	Xie, ManTing
3	Yuan, Zheng
3	Zhang, Yu
2	Alpay, Daniel Aron
2	An, Jing
2	Angell, Thomas S.
2	Aronszajn, Nachman
2	Bandle, Catherine
...and 662 more Authors

all top 5

Cited in 218 Serials

46	Transactions of the American Mathematical Society
38	Journal of Mathematical Analysis and Applications
35	Proceedings of the American Mathematical Society
34	Journal d’Analyse Mathématique
26	Archive for Rational Mechanics and Analysis
24	Mathematische Annalen
19	Mathematische Zeitschrift
17	Applicable Analysis
17	Journal of Functional Analysis
16	Complex Variables and Elliptic Equations
15	Journal of Computational and Applied Mathematics
13	Annali di Matematica Pura ed Applicata. Serie Quarta
13	Bulletin of the American Mathematical Society
13	Complex Analysis and Operator Theory
12	Archiv der Mathematik
12	The Journal of Geometric Analysis
12	Kodai Mathematical Seminar Reports
11	Mathematical Methods in the Applied Sciences
10	Annales de l’Institut Fourier
10	Journal of Differential Equations
10	Numerische Mathematik
9	ZAMP. Zeitschrift für angewandte Mathematik und Physik
9	Integral Equations and Operator Theory
8	Rocky Mountain Journal of Mathematics
8	Journal of Approximation Theory
8	Computational Methods and Function Theory
7	Mathematics of Computation
7	Advances in Mathematics
6	Acta Mathematica
6	Kodai Mathematical Journal
6	Manuscripta Mathematica
5	Communications in Mathematical Physics
5	Journal of Mathematical Physics
5	Mathematical Notes
5	Monatshefte für Mathematik
5	Science in China. Series A
4	International Journal of Engineering Science
4	Israel Journal of Mathematics
4	Wave Motion
4	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4	Automatica
4	Duke Mathematical Journal
4	Journal of Soviet Mathematics
4	Mathematische Nachrichten
4	Rendiconti del Circolo Matemàtico di Palermo. Serie II
4	Results in Mathematics
4	Journal de Mathématiques Pures et Appliquées. Neuvième Série
4	Mathematical Problems in Engineering
4	Lobachevskii Journal of Mathematics
3	Computer Methods in Applied Mechanics and Engineering
3	International Journal of Theoretical Physics
3	Journal of the Franklin Institute
3	Compositio Mathematica
3	Inventiones Mathematicae
3	Siberian Mathematical Journal
3	Applied Numerical Mathematics
3	International Journal of Mathematics
3	Aequationes Mathematicae
3	Applied Mathematical Modelling
3	International Journal of Computer Mathematics
3	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3	Journal of Mathematical Sciences (New York)
3	Bulletin des Sciences Mathématiques
3	Advances in Computational Mathematics
3	Engineering Analysis with Boundary Elements
3	Journal of Physics A: Mathematical and Theoretical
3	Science China. Mathematics
3	Analysis and Mathematical Physics
3	Open Mathematics
2	Analysis Mathematica
2	Computers & Mathematics with Applications
2	Fluid Dynamics
2	General Relativity and Gravitation
2	Journal of Applied Mathematics and Mechanics
2	Journal of Computational Physics
2	Physics of Fluids
2	Reports on Mathematical Physics
2	Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2	Chaos, Solitons and Fractals
2	Journal of Geometry and Physics
2	Acta Scientiarum Mathematicarum
2	Calcolo
2	Glasgow Mathematical Journal
2	International Journal for Numerical Methods in Engineering
2	Journal of Optimization Theory and Applications
2	Journal für die Reine und Angewandte Mathematik
2	Michigan Mathematical Journal
2	Numerical Functional Analysis and Optimization
2	Proceedings of the Japan Academy. Series A
2	Publications of the Research Institute for Mathematical Sciences, Kyoto University
2	Numerical Methods for Partial Differential Equations
2	Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2	Bulletin of the American Mathematical Society. New Series
2	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2	Communications in Numerical Methods in Engineering
2	St. Petersburg Mathematical Journal
2	Georgian Mathematical Journal
2	Advances in Applied Clifford Algebras
2	The Journal of Fourier Analysis and Applications
2	Conformal Geometry and Dynamics
...and 118 more Serials

all top 5

Cited in 50 Fields

187	Functions of a complex variable (30-XX)
176	Partial differential equations (35-XX)
161	Several complex variables and analytic spaces (32-XX)
89	Operator theory (47-XX)
86	Functional analysis (46-XX)
73	Numerical analysis (65-XX)
59	Potential theory (31-XX)
27	Quantum theory (81-XX)
22	Fluid mechanics (76-XX)
21	Mechanics of deformable solids (74-XX)
17	Approximations and expansions (41-XX)
17	Differential geometry (53-XX)
14	Ordinary differential equations (34-XX)
12	Special functions (33-XX)
11	Harmonic analysis on Euclidean spaces (42-XX)
11	Integral equations (45-XX)
11	Calculus of variations and optimal control; optimization (49-XX)
8	Abstract harmonic analysis (43-XX)
8	Global analysis, analysis on manifolds (58-XX)
7	History and biography (01-XX)
7	Real functions (26-XX)
6	Algebraic geometry (14-XX)
6	Integral transforms, operational calculus (44-XX)
6	Systems theory; control (93-XX)
5	Linear and multilinear algebra; matrix theory (15-XX)
5	Probability theory and stochastic processes (60-XX)
4	Optics, electromagnetic theory (78-XX)
3	Associative rings and algebras (16-XX)
3	Nonassociative rings and algebras (17-XX)
3	Dynamical systems and ergodic theory (37-XX)
3	Manifolds and cell complexes (57-XX)
3	Computer science (68-XX)
3	Statistical mechanics, structure of matter (82-XX)
2	Group theory and generalizations (20-XX)
2	Topological groups, Lie groups (22-XX)
2	General topology (54-XX)
2	Mechanics of particles and systems (70-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Commutative algebra (13-XX)
1	Measure and integration (28-XX)
1	Difference and functional equations (39-XX)
1	Geometry (51-XX)
1	Statistics (62-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Relativity and gravitational theory (83-XX)
1	Operations research, mathematical programming (90-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Biology and other natural sciences (92-XX)
1	Information and communication theory, circuits (94-XX)

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