Detlef Gronau - Author Profile

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Gronau, Detlef

Author ID:	gronau.detlef
Published as:	Gronau, Detlef; Gronau, D.
Homepage:	https://imsc.uni-graz.at/gronau/
External Links:	MGP · Wikidata · ResearchGate · GND

Documents Indexed:	50 Publications since 1973, including 6 Books
	12 Contributions as Editor
Reviewing Activity:	10 Reviews
Co-Authors:	21 Co-Authors with 28 Joint Publications
	573 Co-Co-Authors

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Co-Authors

34	single-authored
10	Reich, Ludwig
4	Aczél, János Dezső
4	Schwaiger, Jens
3	Matkowski, Janusz
2	Berg, Lothar
2	Förg-Rob, Wolfgang Johann Josef
2	Forti, Gian Luigi
2	Gardini, Laura
2	Mira, Christian
2	Paganoni, Luigi
2	Smítal, Jaroslav
1	Binder, Christa
1	Butković, Davor
1	Kraljevic, Hrvoje
1	Netzer, Norbert
1	Páles, Zsolt
1	Röschel, Otto
1	Sablik, Maciej
1	Sharkovs’kyĭ, Oleksandr Mykolaĭovych
1	Sousa Ramos, José
1	Targonski, György I.

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Serials

13	Grazer Mathematische Berichte
5	Aequationes Mathematicae
4	Results in Mathematics
3	Mathematica Balkanica
2	Mathematica Pannonica
2	Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte. Abteilung II
1	American Mathematical Monthly
1	Journal of Mathematical Analysis and Applications
1	Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1	Canadian Journal of Mathematics
1	Journal of Geometry
1	Publicationes Mathematicae Debrecen
1	Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1	Rostocker Mathematisches Kolloquium
1	Zeitschrift für Analysis und ihre Anwendungen
1	Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae
1	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1	Beiträge zur Analysis
1	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1	Berichte der Gesellschaft für Mathematik und Datenverarbeitung, Bonn

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Fields

33	Difference and functional equations (39-XX)
15	Partial differential equations (35-XX)
13	History and biography (01-XX)
12	General and overarching topics; collections (00-XX)
6	Real functions (26-XX)
6	Functions of a complex variable (30-XX)
4	Special functions (33-XX)
4	Dynamical systems and ergodic theory (37-XX)
3	Approximations and expansions (41-XX)
1	Commutative algebra (13-XX)
1	Algebraic geometry (14-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Ordinary differential equations (34-XX)
1	Geometry (51-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Astronomy and astrophysics (85-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

19 Publications have been cited 64 times in 43 Documents	Cited by ▼	Year ▼
Geometrical convexity and generalizations of the Bohr-Mollerup theorem on the gamma function. Zbl 0791.33002 Gronau, Detlef; Matkowski, Janusz	9	1993
Some differential equations related to iteration theory. Zbl 0648.35015 Aczél, János; Gronau, Detlef	9	1988
Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009 Aczél, János; Gronau, Detlef; Schwaiger, Jens	6	1994
Two iterative functional equations for power series. Zbl 0526.39009 Gronau, Detlef	5	1982
Geometrically convex solutions of certain difference equations and generalized Bohr-Mollerup type theorems. Zbl 0876.39003 Gronau, Detlef; Matkowski, Janusz	5	1994
Gottlob Frege, a pioneer in iteration theory. Zbl 0918.01010 Gronau, Detlef	5	1997
Another characterization of the gamma function. Zbl 1027.33001 Gronau, D.; Matkowski, J.	4	2003
On the structure of the solutions of the Jabotinsky equations in Banach spaces. Zbl 0796.35016 Gronau, D.	3	1991
Über die multiplikative Translationsgleichung und idempotente Potenzreihenvektoren. Zbl 0571.39002 Gronau, Detlef	3	1985
The spiral of Theodorus. Zbl 1077.39002 Gronau, Detlef	3	2004
Selected topics on functional equations. Zbl 0826.39005 Gronau, Detlef	2	1994
The Jabotinsky equations and the embedding problem. Zbl 0991.39506 Gronau, Detlef	2	1991
Translation equation and Sincov’s equation – a historical remark. Zbl 1330.01049 Gronau, Detlef	2	2014
Iteration theory (ECIT ’06). Proceedings of the 16th European conference, Gargnano, Italy, September 10–16, 2006. Zbl 1133.37001	1	2007
Iteration theory (ECIT ’04). Proceedings of the 15th European conference, Batschuns, Austria, August 29–September 5, 2004. Zbl 1132.39300	1	2006
Selected topics in functional equations and iteration theory. Proceedings of the Austrian - Polish seminar, Universität Graz, Austria, October 24 - 26, 1991. Zbl 0783.00031	1	1992
Some properties of the solutions of the translation equation in Banach spaces. Zbl 0651.39006 Gronau, Detlef	1	1988
An asymptotic formula for the iterates of a function and related functional equations. Zbl 0914.39020 Gronau, Detlef	1	1996
An asymptotic formula for the iterates of a function. Zbl 0774.39005 Gronau, Detlef	1	1993
Translation equation and Sincov’s equation – a historical remark. Zbl 1330.01049 Gronau, Detlef	2	2014
Iteration theory (ECIT ’06). Proceedings of the 16th European conference, Gargnano, Italy, September 10–16, 2006. Zbl 1133.37001	1	2007
Iteration theory (ECIT ’04). Proceedings of the 15th European conference, Batschuns, Austria, August 29–September 5, 2004. Zbl 1132.39300	1	2006
The spiral of Theodorus. Zbl 1077.39002 Gronau, Detlef	3	2004
Another characterization of the gamma function. Zbl 1027.33001 Gronau, D.; Matkowski, J.	4	2003
Gottlob Frege, a pioneer in iteration theory. Zbl 0918.01010 Gronau, Detlef	5	1997
An asymptotic formula for the iterates of a function and related functional equations. Zbl 0914.39020 Gronau, Detlef	1	1996
Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009 Aczél, János; Gronau, Detlef; Schwaiger, Jens	6	1994
Geometrically convex solutions of certain difference equations and generalized Bohr-Mollerup type theorems. Zbl 0876.39003 Gronau, Detlef; Matkowski, Janusz	5	1994
Selected topics on functional equations. Zbl 0826.39005 Gronau, Detlef	2	1994
Geometrical convexity and generalizations of the Bohr-Mollerup theorem on the gamma function. Zbl 0791.33002 Gronau, Detlef; Matkowski, Janusz	9	1993
An asymptotic formula for the iterates of a function. Zbl 0774.39005 Gronau, Detlef	1	1993
Selected topics in functional equations and iteration theory. Proceedings of the Austrian - Polish seminar, Universität Graz, Austria, October 24 - 26, 1991. Zbl 0783.00031	1	1992
On the structure of the solutions of the Jabotinsky equations in Banach spaces. Zbl 0796.35016 Gronau, D.	3	1991
The Jabotinsky equations and the embedding problem. Zbl 0991.39506 Gronau, Detlef	2	1991
Some differential equations related to iteration theory. Zbl 0648.35015 Aczél, János; Gronau, Detlef	9	1988
Some properties of the solutions of the translation equation in Banach spaces. Zbl 0651.39006 Gronau, Detlef	1	1988
Über die multiplikative Translationsgleichung und idempotente Potenzreihenvektoren. Zbl 0571.39002 Gronau, Detlef	3	1985
Two iterative functional equations for power series. Zbl 0526.39009 Gronau, Detlef	5	1982

all cited Publications top 5 cited Publications

all top 5

Cited by 45 Authors

5	Matkowski, Janusz
4	Gronau, Detlef
4	Reich, Ludwig
3	Chu, Yuming
3	Fripertinger, Harald
3	Zhang, Xiaohui
2	Alzer, Horst
2	Aschenbrenner, Matthias
2	Berg, Lothar
2	Fechner, Włodzimierz
2	Moszner, Zenon
2	Rückschlossová, Tatiana
2	Targonski, György I.
2	Wang, Gendi
1	Aczél, János Dezső
1	Bergweiler, Walter
1	Botezat, Petru Sorin
1	Calvo, Tomasa
1	Candeal, Juan Carlos
1	Cohen, Marshall M.
1	Crâşmăreanu, Mircea
1	Duddy, Conal
1	Gautschi, Walter
1	Guan, Kaizhong
1	Himmel, Martin
1	Hooshmand, Mohammad Hadi
1	Jabłoński, Wojciech
1	Jung, Soon-Mo
1	Lazaro, Jesus
1	Li, Yongmin
1	Monkam, Galamo F.
1	Ng, Che Tat
1	Piggins, Ashley
1	Qiu, Songliang
1	Rassias, John Michael
1	Rückschloss, Roman
1	Snoha, Ľubomír
1	Sokolov, Mikhail V.
1	Solarz, Paweł
1	Štoudková Ružičková, Viera
1	Száz, Árpád
1	Theerthagiri, L.
1	Tomaschek, Jörg
1	Xia, Weifeng
1	Zdun, Marek Cezary

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Cited in 27 Serials

12	Aequationes Mathematicae
2	Journal of Mathematical Analysis and Applications
2	Real Analysis Exchange
2	Results in Mathematics
1	Indian Journal of Pure & Applied Mathematics
1	Rocky Mountain Journal of Mathematics
1	Archiv der Mathematik
1	Fuzzy Sets and Systems
1	Illinois Journal of Mathematics
1	Journal of Combinatorial Theory. Series A
1	Journal of Computational and Applied Mathematics
1	Kybernetika
1	Mathematische Nachrichten
1	Proceedings of the American Mathematical Society
1	Rendiconti del Seminario Matemàtico e Fisico di Milano
1	Theory and Decision
1	Social Choice and Welfare
1	Forum Mathematicum
1	Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1	Linear Algebra and its Applications
1	Journal of Convex Analysis
1	Journal of Difference Equations and Applications
1	Journal of Inequalities and Applications
1	Quantum Information Processing
1	Fixed Point Theory and Applications
1	Acta Universitatis Sapientiae. Mathematica
1	Proceedings of the American Mathematical Society. Series B

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Cited in 24 Fields

25	Difference and functional equations (39-XX)
19	Real functions (26-XX)
10	Special functions (33-XX)
8	Functions of a complex variable (30-XX)
5	History and biography (01-XX)
5	Commutative algebra (13-XX)
4	Dynamical systems and ergodic theory (37-XX)
4	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3	Ordinary differential equations (34-XX)
3	General topology (54-XX)
3	Computer science (68-XX)
2	Functional analysis (46-XX)
2	Geometry (51-XX)
2	Numerical analysis (65-XX)
1	Mathematical logic and foundations (03-XX)
1	Number theory (11-XX)
1	Algebraic geometry (14-XX)
1	Group theory and generalizations (20-XX)
1	Sequences, series, summability (40-XX)
1	Approximations and expansions (41-XX)
1	Convex and discrete geometry (52-XX)
1	Manifolds and cell complexes (57-XX)
1	Probability theory and stochastic processes (60-XX)
1	Quantum theory (81-XX)

Citations by Year

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