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Prudnikov, Anatoliĭ Platonovich

Author ID: prudnikov.anatolii-platonovich Recent zbMATH articles by "Prudnikov, Anatoliĭ Platonovich"
Published as: Prudnikov, A. P.; Prudnikov, Anatoly P.; Prudnikov, Anatoliĭ Platonovich; Prudnikov, Anatoly; Proudnikov, A.
Documents Indexed: 79 Publications since 1957, including 36 Books
1 Contribution as Editor
Biographic References: 7 Publications
Co-Authors: 32 Co-Authors with 67 Joint Publications
1,118 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 3,287 times in 2,843 Documents Cited by Year
Integrals and series. Vol. 1: Elementary functions. Vol. 2: Special functions. Transl. from the Russian by N. M. Queen. Zbl 0733.00004
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
652
1986
Integrals and series. Complementary chapters. (Integraly i ryady. Dopolnitel’nye glavy). Zbl 0606.33001
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
518
1986
Integrals and series. Volume 3: More special functions. Transl. from the Russian by G. G. Gould. Zbl 0967.00503
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
495
1990
Integrals and series. Elementary functions. (Integraly i ryady. Ehlementarnye funktsii). Zbl 0511.00044
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
420
1981
Integrals and series. Special functions. (Integraly i ryady. Spetsial’nye funktsii). Zbl 0626.00033
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
198
1983
Integrals and series. Vol. 4: Direct Laplace transforms. Zbl 0786.44003
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
136
1992
Integral transforms and operational calculus. Translated by D. E. Brown. English translation edited by Ian N. Sneddon. (International Series of Monographs in Pure and Applied Mathematics. Vol. 78). Zbl 0133.06202
Ditkin, V. A.; Prudnikov, A. P.
131
1965
Handbook of operational calculus. (Справочникпо операционному исчисления.) Zbl 0126.31402
Ditkin, V. A.; Prudnikov, A. P.
96
1965
Integrals and series. Vol. 5: Inverse Laplace transforms. Zbl 0781.44002
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
82
1992
Integrals and series. Vol. 2: Special functions. Transl. from the Russian by N. M. Queen. 2nd ed. Zbl 0733.00005
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
67
1988
Multidimensional integral transformations. Zbl 0752.44004
Brychkov, Yu. A.; Glaeske, H.-J.; Prudnikov, A. P.; Tuan, Vu Kim
52
1992
Operational calculus and related topics. Zbl 1105.44002
Glaeske, H.-J.; Prudnikov, A. P.; Skòrnik, K. A.
48
2006
Integral transforms of generalized functions. Mathematical Reference Library. (Integral’nye preobrazovaniya obobshchennykh funktsij. Spravochnaya matematicheskaya biblioteca). Zbl 0464.46039
Brychkov, Yu. A.; Prudnikov, A. P.
43
1977
Integrals and series. Vol. 3. Complementary chapters. 2nd revised ed. (Интегралы и ряды. Том 3. Дополнительные главы.) Zbl 1103.33300
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
42
2003
Integral transforms of generalized functions. Transl. from the Russian. Zbl 0729.46016
Brychkov, Yu. A.; Prudnikov, A. P.
41
1989
Operational calculus in two variables and its applications. Translated by D. M. G. Wishart. Zbl 0116.30902
Ditkin, V. A.; Prudnikov, A. P.
40
1962
Tables of indefinite integrals. Transl. from the Russian by G. G. Gould. Zbl 0728.26001
Brychkov, Yu. A.; Marichev, O. I.; Prudnikov, A. P.
38
1989
Integrals and series. Vol. 2. Special functions. 2nd revised ed. (Интегралы и ряды. Том 2. Специальные функции.) Zbl 1103.00302
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
36
2003
Integrals and series. Vol. 1. Elementary functions. 2nd revised ed. (Интегралы и ряды. Том 1. Элементарные функции.) Zbl 1103.00301
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
31
2003
Asymptotics and special functions. (Asimptotika i spetsial’nye funktsii). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. (Asimptotika i spetsial’nye funktsii.) Zbl 0712.41006
Olver, F.
22
1990
Transformations intégrales et calcul opérationnel. Traduit du russe par Djilali Embarek. 2e ed. Zbl 0494.44001
Ditkine, V.; Proudnikov, A.
13
1982
Integral transforms. Zbl 0197.37903
Ditkin, V. A.; Prudnikov, A. P.
11
1969
The operational calculus of Bessel operators. Zbl 0141.11403
Ditkin, V. A.; Prudnikov, A. P.
10
1962
Operational calculus in two variables and its applications. (Операционное исчисление по двум переменным и его приложения.) Zbl 0126.31403
Ditkin, V. A.; Prudnikov, A. P.
9
1958
Evaluation of integrals and the Mellin transform. Zbl 0725.44001
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
8
1991
Operational calculus. Zbl 0451.44003
Brychkov, Yu. A.; Prudnikov, A. P.; Shishov, V. S.
8
1981
On the theory of the operational calculus for the Bessel equation. Zbl 0142.39602
Ditkin, V. A.; Prudnikov, A. P.
7
1963
Tables of indefinite integrals. Handbook. (Tablitsy neopredelennykh integralov. Spravochnik). Zbl 0626.00032
Brychkov, Yu. A.; Marichev, O. I.; Prudnikov, A. P.
5
1986
Integral transforms of generalized functions. Zbl 0552.46021
Brychkov, Yu. A.; Prudnikov, A. P.
5
1982
Formulaire pour le calcul opérationnel. Zbl 0146.36202
Ditkin, V. A.; Prudnikov, A. P.
5
1967
Integraltransformationen und Operatorenrechnung. (Integral’nye preobrazovanija i operacionnoe iscislenie.)2., erg. Aufl. Zbl 0298.44007
Ditkin, V. A.; Prudnikov, A. P.
4
1974
Integral transforms of generalized functions. Zbl 0595.46043
Brychkov, Yu. A.; Prudnikov, A. P.
3
1986
Transformations intégrales et calcul opérationnel. Traduit du russe par Djilali Embarek. Zbl 0375.44001
Ditkin, V.; Prudnikov, A. P.
3
1978
Operator calculus. (Оператионное исчисление) (Operatorenrechnung.) Zbl 0148.36705
Ditkin, V. A.; Prudnikov, A. P.
3
1966
Watson operators and their application to the solution of some problems of heat conduction theory. Zbl 0443.35036
Prudnikov, A. P.
3
1980
Basis properties and completeness of certain systems of elementary functions. Zbl 1182.41001
Moiseev, E. I.; Prudnikov, A. P.; Sedletskii, A. M.
3
2007
Operational calculus. Zbl 0407.44002
Bryckov, Ju. A.; Prudnikov, A. P.; Sisov, V.
3
1979
Operational calculus in two variables and its applications. Translated from the Russian by D. M. G. Wishart. Reprint of the 1962 editionl published by Pergamon Press. Zbl 1370.44001
Ditkin, V. A.; Prudnikov, A. P.
2
2017
On the basis property of systems of sines and cosines in the Sobolev spaces. Zbl 0868.46002
Moiseev, Evgeny I.; Prudnikov, Anatoly P.
2
1996
Tables of integral error functions and Hermite polynomials. Translated by Pasenjit Basu. (Mathematical Tables Series. Vol. 19). Zbl 0105.11304
Berljand, O. S.; Gavrilova, R. I.; Prudnikov, A. P.
2
1962
On the theory of operational calculus. Zbl 0118.31604
Prudnikov, A. P.
2
1962
On functions satisfying the differential equation \(x^ 2 y'''+3xy''+y'+x^ 2 y = 0\). Zbl 0127.29404
Prudnikov, A. P.
2
1962
On the generalized Fourier sine- and cosine- transforms. Zbl 0944.42008
Moiseev, E. I.; Prudnikov, A. P.; Skórnik, U.
1
1998
On a complete orthonormal system of special functions. Zbl 0794.42020
Moiseev, E. I.; Prudnikov, A. P.
1
1993
On Watson transforms. Zbl 0751.44004
Prudnikov, A. P.
1
1990
Solution of the Dirichlet problem in a domain containing a rounded corner. Zbl 0645.31001
Vlasov, V. I.; Volkov, D. B.; Prudnikov, A. P.
1
1987
Watson operators and some of their applications. Zbl 0517.44007
Prudnikov, A. P.; Bartoshevich, M. A.
1
1981
A method for solving boundary value problems for the Laplace equation in domains with curvilinear boundary. Zbl 0617.31001
Vlasov, V. I.; Prudnikov, A. P.
1
1986
Asymptotic behavior of the solutions of certain problems for the Laplace equation under the deformation of the domain. Zbl 0544.35029
Vlasov, V. I.; Prudnikov, A. P.
1
1984
Integraltransformationen und Operatorenrechnung. (Интегральные преобразования и операционное исчисление.) Zbl 0099.08901
Ditkin, V. A.; Prudnikov, A. P.
1
1961
Operational calculus in two variables and its applications. Translated from the Russian by D. M. G. Wishart. Reprint of the 1962 editionl published by Pergamon Press. Zbl 1370.44001
Ditkin, V. A.; Prudnikov, A. P.
2
2017
Basis properties and completeness of certain systems of elementary functions. Zbl 1182.41001
Moiseev, E. I.; Prudnikov, A. P.; Sedletskii, A. M.
3
2007
Operational calculus and related topics. Zbl 1105.44002
Glaeske, H.-J.; Prudnikov, A. P.; Skòrnik, K. A.
48
2006
Integrals and series. Vol. 3. Complementary chapters. 2nd revised ed. (Интегралы и ряды. Том 3. Дополнительные главы.) Zbl 1103.33300
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
42
2003
Integrals and series. Vol. 2. Special functions. 2nd revised ed. (Интегралы и ряды. Том 2. Специальные функции.) Zbl 1103.00302
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
36
2003
Integrals and series. Vol. 1. Elementary functions. 2nd revised ed. (Интегралы и ряды. Том 1. Элементарные функции.) Zbl 1103.00301
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
31
2003
On the generalized Fourier sine- and cosine- transforms. Zbl 0944.42008
Moiseev, E. I.; Prudnikov, A. P.; Skórnik, U.
1
1998
On the basis property of systems of sines and cosines in the Sobolev spaces. Zbl 0868.46002
Moiseev, Evgeny I.; Prudnikov, Anatoly P.
2
1996
On a complete orthonormal system of special functions. Zbl 0794.42020
Moiseev, E. I.; Prudnikov, A. P.
1
1993
Integrals and series. Vol. 4: Direct Laplace transforms. Zbl 0786.44003
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
136
1992
Integrals and series. Vol. 5: Inverse Laplace transforms. Zbl 0781.44002
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
82
1992
Multidimensional integral transformations. Zbl 0752.44004
Brychkov, Yu. A.; Glaeske, H.-J.; Prudnikov, A. P.; Tuan, Vu Kim
52
1992
Evaluation of integrals and the Mellin transform. Zbl 0725.44001
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
8
1991
Integrals and series. Volume 3: More special functions. Transl. from the Russian by G. G. Gould. Zbl 0967.00503
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
495
1990
Asymptotics and special functions. (Asimptotika i spetsial’nye funktsii). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. (Asimptotika i spetsial’nye funktsii.) Zbl 0712.41006
Olver, F.
22
1990
On Watson transforms. Zbl 0751.44004
Prudnikov, A. P.
1
1990
Integral transforms of generalized functions. Transl. from the Russian. Zbl 0729.46016
Brychkov, Yu. A.; Prudnikov, A. P.
41
1989
Tables of indefinite integrals. Transl. from the Russian by G. G. Gould. Zbl 0728.26001
Brychkov, Yu. A.; Marichev, O. I.; Prudnikov, A. P.
38
1989
Integrals and series. Vol. 2: Special functions. Transl. from the Russian by N. M. Queen. 2nd ed. Zbl 0733.00005
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
67
1988
Solution of the Dirichlet problem in a domain containing a rounded corner. Zbl 0645.31001
Vlasov, V. I.; Volkov, D. B.; Prudnikov, A. P.
1
1987
Integrals and series. Vol. 1: Elementary functions. Vol. 2: Special functions. Transl. from the Russian by N. M. Queen. Zbl 0733.00004
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
652
1986
Integrals and series. Complementary chapters. (Integraly i ryady. Dopolnitel’nye glavy). Zbl 0606.33001
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
518
1986
Tables of indefinite integrals. Handbook. (Tablitsy neopredelennykh integralov. Spravochnik). Zbl 0626.00032
Brychkov, Yu. A.; Marichev, O. I.; Prudnikov, A. P.
5
1986
Integral transforms of generalized functions. Zbl 0595.46043
Brychkov, Yu. A.; Prudnikov, A. P.
3
1986
A method for solving boundary value problems for the Laplace equation in domains with curvilinear boundary. Zbl 0617.31001
Vlasov, V. I.; Prudnikov, A. P.
1
1986
Asymptotic behavior of the solutions of certain problems for the Laplace equation under the deformation of the domain. Zbl 0544.35029
Vlasov, V. I.; Prudnikov, A. P.
1
1984
Integrals and series. Special functions. (Integraly i ryady. Spetsial’nye funktsii). Zbl 0626.00033
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
198
1983
Transformations intégrales et calcul opérationnel. Traduit du russe par Djilali Embarek. 2e ed. Zbl 0494.44001
Ditkine, V.; Proudnikov, A.
13
1982
Integral transforms of generalized functions. Zbl 0552.46021
Brychkov, Yu. A.; Prudnikov, A. P.
5
1982
Integrals and series. Elementary functions. (Integraly i ryady. Ehlementarnye funktsii). Zbl 0511.00044
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I.
420
1981
Operational calculus. Zbl 0451.44003
Brychkov, Yu. A.; Prudnikov, A. P.; Shishov, V. S.
8
1981
Watson operators and some of their applications. Zbl 0517.44007
Prudnikov, A. P.; Bartoshevich, M. A.
1
1981
Watson operators and their application to the solution of some problems of heat conduction theory. Zbl 0443.35036
Prudnikov, A. P.
3
1980
Operational calculus. Zbl 0407.44002
Bryckov, Ju. A.; Prudnikov, A. P.; Sisov, V.
3
1979
Transformations intégrales et calcul opérationnel. Traduit du russe par Djilali Embarek. Zbl 0375.44001
Ditkin, V.; Prudnikov, A. P.
3
1978
Integral transforms of generalized functions. Mathematical Reference Library. (Integral’nye preobrazovaniya obobshchennykh funktsij. Spravochnaya matematicheskaya biblioteca). Zbl 0464.46039
Brychkov, Yu. A.; Prudnikov, A. P.
43
1977
Integraltransformationen und Operatorenrechnung. (Integral’nye preobrazovanija i operacionnoe iscislenie.)2., erg. Aufl. Zbl 0298.44007
Ditkin, V. A.; Prudnikov, A. P.
4
1974
Integral transforms. Zbl 0197.37903
Ditkin, V. A.; Prudnikov, A. P.
11
1969
Formulaire pour le calcul opérationnel. Zbl 0146.36202
Ditkin, V. A.; Prudnikov, A. P.
5
1967
Operator calculus. (Оператионное исчисление) (Operatorenrechnung.) Zbl 0148.36705
Ditkin, V. A.; Prudnikov, A. P.
3
1966
Integral transforms and operational calculus. Translated by D. E. Brown. English translation edited by Ian N. Sneddon. (International Series of Monographs in Pure and Applied Mathematics. Vol. 78). Zbl 0133.06202
Ditkin, V. A.; Prudnikov, A. P.
131
1965
Handbook of operational calculus. (Справочникпо операционному исчисления.) Zbl 0126.31402
Ditkin, V. A.; Prudnikov, A. P.
96
1965
On the theory of the operational calculus for the Bessel equation. Zbl 0142.39602
Ditkin, V. A.; Prudnikov, A. P.
7
1963
Operational calculus in two variables and its applications. Translated by D. M. G. Wishart. Zbl 0116.30902
Ditkin, V. A.; Prudnikov, A. P.
40
1962
The operational calculus of Bessel operators. Zbl 0141.11403
Ditkin, V. A.; Prudnikov, A. P.
10
1962
Tables of integral error functions and Hermite polynomials. Translated by Pasenjit Basu. (Mathematical Tables Series. Vol. 19). Zbl 0105.11304
Berljand, O. S.; Gavrilova, R. I.; Prudnikov, A. P.
2
1962
On the theory of operational calculus. Zbl 0118.31604
Prudnikov, A. P.
2
1962
On functions satisfying the differential equation \(x^ 2 y'''+3xy''+y'+x^ 2 y = 0\). Zbl 0127.29404
Prudnikov, A. P.
2
1962
Integraltransformationen und Operatorenrechnung. (Интегральные преобразования и операционное исчисление.) Zbl 0099.08901
Ditkin, V. A.; Prudnikov, A. P.
1
1961
Operational calculus in two variables and its applications. (Операционное исчисление по двум переменным и его приложения.) Zbl 0126.31403
Ditkin, V. A.; Prudnikov, A. P.
9
1958
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...and 411 more Serials
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Cited in 61 Fields

821 Special functions (33-XX)
453 Partial differential equations (35-XX)
380 Integral transforms, operational calculus (44-XX)
294 Probability theory and stochastic processes (60-XX)
280 Quantum theory (81-XX)
259 Statistics (62-XX)
243 Real functions (26-XX)
240 Mechanics of deformable solids (74-XX)
209 Numerical analysis (65-XX)
189 Ordinary differential equations (34-XX)
168 Number theory (11-XX)
164 Harmonic analysis on Euclidean spaces (42-XX)
136 Operator theory (47-XX)
130 Integral equations (45-XX)
129 Fluid mechanics (76-XX)
121 Statistical mechanics, structure of matter (82-XX)
103 Functions of a complex variable (30-XX)
99 Approximations and expansions (41-XX)
88 Functional analysis (46-XX)
78 Combinatorics (05-XX)
67 Relativity and gravitational theory (83-XX)
45 Information and communication theory, circuits (94-XX)
44 Optics, electromagnetic theory (78-XX)
40 Difference and functional equations (39-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 Sequences, series, summability (40-XX)
31 Linear and multilinear algebra; matrix theory (15-XX)
31 Mechanics of particles and systems (70-XX)
31 Classical thermodynamics, heat transfer (80-XX)
29 Potential theory (31-XX)
28 Differential geometry (53-XX)
27 Computer science (68-XX)
26 Biology and other natural sciences (92-XX)
24 Abstract harmonic analysis (43-XX)
24 Systems theory; control (93-XX)
23 Topological groups, Lie groups (22-XX)
23 Dynamical systems and ergodic theory (37-XX)
18 Several complex variables and analytic spaces (32-XX)
18 Geophysics (86-XX)
17 Global analysis, analysis on manifolds (58-XX)
10 Operations research, mathematical programming (90-XX)
9 Convex and discrete geometry (52-XX)
9 Astronomy and astrophysics (85-XX)
8 Measure and integration (28-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 History and biography (01-XX)
7 Geometry (51-XX)
5 Algebraic geometry (14-XX)
5 Associative rings and algebras (16-XX)
4 General and overarching topics; collections (00-XX)
4 Nonassociative rings and algebras (17-XX)
4 Group theory and generalizations (20-XX)
4 Manifolds and cell complexes (57-XX)
3 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

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