Gronau, Detlef Eri Jabotinsky, mathematician and politician: a short biography. (English) Zbl 1480.01018 Aequationes Math. 95, No. 6, 1149-1155 (2021). MSC: 01A60 01A70 39-03 PDFBibTeX XMLCite \textit{D. Gronau}, Aequationes Math. 95, No. 6, 1149--1155 (2021; Zbl 1480.01018) Full Text: DOI
Gronau, Detlef Translation equation and Sincov’s equation – a historical remark. (English. French summary) Zbl 1330.01049 ESAIM, Proc. Surv. 46, 43-46 (2014). MSC: 01A55 39B12 PDFBibTeX XMLCite \textit{D. Gronau}, ESAIM, Proc. Surv. 46, 43--46 (2014; Zbl 1330.01049) Full Text: DOI
Gronau, Detlef Difference equations, Euler’s summation formula and Hyers-Ulam stability. (English) Zbl 1158.39001 Aequationes Math. 76, No. 3, 249-257 (2008). Reviewer: Gian Luigi Forti (Milano) MSC: 39A10 39B32 39B82 30D05 PDFBibTeX XMLCite \textit{D. Gronau}, Aequationes Math. 76, No. 3, 249--257 (2008; Zbl 1158.39001) Full Text: DOI
Förg-Rob, Wolfgang (ed.); Gardini, Laura (ed.); Gronau, Detlef (ed.); Reich, Ludwig (ed.); Smítal, Jarislav (ed.) Iteration theory (ECIT ’04). Proceedings of the 15th European conference, Batschuns, Austria, August 29–September 5, 2004. (English) Zbl 1132.39300 Grazer Math. Ber. 350, vi, 246 p. (2006). MSC: 39-06 00B25 PDFBibTeX XML
Sousa Ramos, José (ed.); Gronau, Detlef (ed.); Mira, Christian (ed.); Reich, Ludwig (ed.); Sharkovsky, Alexander (ed.) Iteration theory (ECIT ’02). Proceedings of the 14th European conference, Évora, Portugal, September 1–7, 2002. (English) Zbl 1098.39500 Grazer Math. Ber. 346, vi, 438 p. (2004). MSC: 39-06 00B25 PDFBibTeX XML
Gronau, Detlef The spiral of Theodorus. (English) Zbl 1077.39002 Am. Math. Mon. 111, No. 3, 230-237 (2004). Reviewer: Erhard Quaisser (Potsdam) MSC: 39A10 PDFBibTeX XMLCite \textit{D. Gronau}, Am. Math. Mon. 111, No. 3, 230--237 (2004; Zbl 1077.39002) Full Text: DOI
Gronau, Detlef Normal solutions of difference equations, Euler’s functions and spirals. (English) Zbl 1060.39001 Aequationes Math. 68, No. 3, 230-247 (2004). Reviewer: Lothar Berg (Rostock) MSC: 39A10 39-03 39A11 01A50 PDFBibTeX XMLCite \textit{D. Gronau}, Aequationes Math. 68, No. 3, 230--247 (2004; Zbl 1060.39001) Full Text: DOI
Gronau, Detlef; Schwaiger, Jens An estimate for the iterates of analytic functions in several variables with fixed point 0. (English) Zbl 1056.39032 Grazer Math. Ber. 346, 169-176 (2004). Reviewer: János Aczél (Waterloo/Ontario) MSC: 39B12 30A10 30B10 30D05 PDFBibTeX XMLCite \textit{D. Gronau} and \textit{J. Schwaiger}, Grazer Math. Ber. 346, 169--176 (2004; Zbl 1056.39032)
Gronau, Detlef An estimate for the iterates of \(C^ m\)-functions with fixed point \(0\). (English) Zbl 1063.39017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 7, 2011-2012 (2003). MSC: 39B12 30D05 PDFBibTeX XMLCite \textit{D. Gronau}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 7, 2011--2012 (2003; Zbl 1063.39017) Full Text: DOI
Gronau, D.; Matkowski, J. Another characterization of the gamma function. (English) Zbl 1027.33001 Publ. Math. Debr. 63, No. 1-2, 105-113 (2003). MSC: 33B15 39A13 PDFBibTeX XMLCite \textit{D. Gronau} and \textit{J. Matkowski}, Publ. Math. Debr. 63, No. 1--2, 105--113 (2003; Zbl 1027.33001)
Gronau, Detlef On the early history of iteration theory and dynamics. (English) Zbl 1041.39014 Bakić, D. (ed.) et al., Functional analysis VII. Proceedings of the postgraduate school and conference, Dubrovnik, Croatia, September 17–26, 2001. Aarhus: University of Aarhus, Department of Mathematical Sciences. Var. Publ. Ser., Aarhus Univ. 46, 111-120 (2002). Reviewer: Albert C. Lewis (Indianapolis) MSC: 39B12 01A55 39-03 30D05 PDFBibTeX XMLCite \textit{D. Gronau}, Var. Publ. Ser., Aarhus Univ. 46, 111--120 (2002; Zbl 1041.39014)
Gronau, Detlef (ed.); Reich, Ludwig (ed.) Contributions to the theory of functional equations III. Proceedings of the 3rd colloquium, Graz, Austria, October 20–21, 2000. (English) Zbl 0995.00509 Grazer Math. Ber. 344, 68 p. (2001). MSC: 00B25 39-06 39Bxx PDFBibTeX XMLCite \textit{D. Gronau} (ed.) and \textit{L. Reich} (ed.), Grazer Math. Ber. 344, 68~p. (2001; Zbl 0995.00509)
Gronau, Detlef (ed.); Schwaiger, Jens (ed.) Colloquium dedicated to Ludwig Reich, January 28, 2000, Graz, Austria. (Festkolloquium für Ludwig Reich gehalten am 28. Jänner 2000 in Graz, Österreich.) (German, English) Zbl 0972.00074 Grazer Math. Ber. 342, 70 S. (2000). MSC: 00B30 39-06 PDFBibTeX XMLCite \textit{D. Gronau} (ed.) and \textit{J. Schwaiger} (ed.), Grazer Math. Ber. 342, 70~S. (2000; Zbl 0972.00074)
Gardini, Laura (ed.); Forti, Gian-Luigi (ed.); Gronau, Detlef (ed.); Paganoni, Luigi (ed.) Iteration theory. Proceedings of the European conference, ECIT ’96, Urbino, Italy, September 8–14, 1996. (English) Zbl 0976.00025 Grazer Math. Ber. 339, viii, 370 p. (1999). MSC: 00B25 37-06 39-06 37Exx PDFBibTeX XMLCite \textit{L. Gardini} (ed.) et al., Grazer Math. Ber. 339, viii, 370~p. (1999; Zbl 0976.00025)
Gronau, Detlef Gottlob Frege, a pioneer in iteration theory. (English) Zbl 0918.01010 Grazer Math. Ber. 334, 105-119 (1997). Reviewer: M.von Renteln (Karlsruhe) MSC: 01A55 39B12 39-03 PDFBibTeX XMLCite \textit{D. Gronau}, Grazer Math. Ber. 334, 105--119 (1997; Zbl 0918.01010)
Gronau, Detlef An asymptotic formula for the iterates of a function and related functional equations. (English) Zbl 0914.39020 Förg-Rob, W. (ed.) et al., Iteration theory. Proceedings of the European conference, ECIT ’92, Batschuns, Austria, September 13–19, 1992. Singapore: World Scientific. 136-151 (1996). MSC: 39B12 39B22 PDFBibTeX XMLCite \textit{D. Gronau}, in: Iteration theory. Proceedings of the European conference, ECIT '92, Batschuns, Austria, September 13--19, 1992. Singapore: World Scientific. 136--151 (1996; Zbl 0914.39020)
Förg-Rob, W. (ed.); Gronau, D. (ed.); Mira, C. (ed.); Netzer, N. (ed.); Targonski, G. (ed.) Iteration theory. Proceedings of the European conference, ECIT ’92, Batschuns, Austria, September 13–19, 1992. (English) Zbl 0901.00041 Singapore: World Scientific. x, 284 p. (1996). MSC: 00B25 39-06 58-06 PDFBibTeX XMLCite \textit{W. Förg-Rob} (ed.) et al., Iteration theory. Proceedings of the European conference, ECIT '92, Batschuns, Austria, September 13--19, 1992. Singapore: World Scientific (1996; Zbl 0901.00041)
Gronau, Detlef (ed.); Páles, Zsolt (ed.) Contributions to the theory of functional equations II. 2nd proceedings of the seminar Debrecen-Graz, Zamárdi, Hungary, May 11–14, 1995. (English) Zbl 0881.00032 Grazer Mathematische Berichte. 327. Graz: Univ. Graz, Inst. f. Math. iv, 59 p. (1996). MSC: 00B25 39-06 PDFBibTeX XMLCite \textit{D. Gronau} (ed.) and \textit{Z. Páles} (ed.), Contributions to the theory of functional equations II. 2nd proceedings of the seminar Debrecen-Graz, Zamárdi, Hungary, May 11--14, 1995. Graz: Univ. Graz, Inst. f. Math. (1996; Zbl 0881.00032)
Berg, Lothar; Gronau, Detlef Correction to the paper: Asymptotic solutions of the translation equation. (Berichtigung der Arbeit: Asymptotische Lösungen der Translationsgleichung.) (German) Zbl 0831.39008 Result. Math. 27, No. 3-4, 422-423 (1995). Reviewer: J.Schwaiger (Graz) MSC: 39B12 41A60 PDFBibTeX XMLCite \textit{L. Berg} and \textit{D. Gronau}, Result. Math. 27, No. 3--4, 422--423 (1995; Zbl 0831.39008) Full Text: DOI
Gronau, Detlef; Matkowski, Janusz Geometrically convex solutions of certain difference equations and generalized Bohr-Mollerup type theorems. (English) Zbl 0876.39003 Result. Math. 26, No. 3-4, 290-297 (1994). MSC: 39B12 39B22 33B15 33D05 PDFBibTeX XMLCite \textit{D. Gronau} and \textit{J. Matkowski}, Result. Math. 26, No. 3--4, 290--297 (1994; Zbl 0876.39003) Full Text: DOI
Berg, Lothar; Gronau, Detlef Asymptotic solutions of the translation equation. (Asymptotische Lösungen der Translationsgleichung.) (German) Zbl 0831.39007 Result. Math. 26, No. 3-4, 215-220 (1994). Reviewer: J.Schwaiger (Graz) MSC: 39B12 41A60 PDFBibTeX XMLCite \textit{L. Berg} and \textit{D. Gronau}, Result. Math. 26, No. 3--4, 215--220 (1994; Zbl 0831.39007) Full Text: DOI
Gronau, Detlef Selected topics on functional equations. (English) Zbl 0826.39005 Butković, D. (ed.) et al., Functional analysis IV. Proceedings of the postgraduate school and conference held at the Inter-University Center, Dubrovnik, Croatia, November 10-17, 1993. Aarhus: Aarhus University, Mat. Institut, Var. Publ. Ser., Aarhus Univ. 43, 63-84 (1994). Reviewer: L.Berg (Rostock) MSC: 39B22 33B15 PDFBibTeX XMLCite \textit{D. Gronau}, Var. Publ. Ser., Aarhus Univ. 43, 63--84 (1994; Zbl 0826.39005)
Gronau, Detlef; Sablik, Maciej A functional equation arising from an asymptotic formula for iterates. (English) Zbl 0818.39005 Pr. Nauk. Uniw. Śląsk. Katowicach 1444, Ann. Math. Silesianae 8, 173-187 (1994). Reviewer: L.Berg (Rostock) MSC: 39B12 26A18 PDFBibTeX XMLCite \textit{D. Gronau} and \textit{M. Sablik}, Pr. Nauk. Uniw. Śląsk. Katowicach, Ann. Math. Silesianae 1444(8), 173--187 (1994; Zbl 0818.39005)
Aczél, János; Gronau, Detlef; Schwaiger, Jens Increasing solutions of the homogeneity equation and of similar equations. (English) Zbl 0806.39009 J. Math. Anal. Appl. 182, No. 2, 436-464 (1994). Reviewer: H.K.L.Vasudeva (Chandigarh) MSC: 39B22 PDFBibTeX XMLCite \textit{J. Aczél} et al., J. Math. Anal. Appl. 182, No. 2, 436--464 (1994; Zbl 0806.39009) Full Text: DOI
Gronau, Detlef; Matkowski, Janusz Geometrical convexity and generalizations of the Bohr-Mollerup theorem on the gamma function. (English) Zbl 0791.33002 Math. Pannonica 4, No. 2, 153-160 (1993). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 33B15 39B22 39B12 26A51 PDFBibTeX XMLCite \textit{D. Gronau} and \textit{J. Matkowski}, Math. Pannonica 4, No. 2, 153--160 (1993; Zbl 0791.33002) Full Text: EuDML
Gronau, Detlef An asymptotic formula for the iterates of a function. (English) Zbl 0774.39005 Result. Math. 23, No. 1-2, 49-54 (1993). Reviewer: L.Berg (Rostock) MSC: 39B12 26A18 41A60 PDFBibTeX XMLCite \textit{D. Gronau}, Result. Math. 23, No. 1--2, 49--54 (1993; Zbl 0774.39005) Full Text: DOI
Gronau, Detlef (ed.); Reich, Ludwig (ed.) Selected topics in functional equations and iteration theory. Proceedings of the Austrian - Polish seminar, Universität Graz, Austria, October 24 - 26, 1991. (English) Zbl 0783.00031 Graz: Bibliothek, Inst. f. Math., Karl-Franzens-Univ. (1992). MSC: 00B25 39-06 PDFBibTeX XML
Gronau, Detlef The Jabotinsky equations and the embedding problem. (English) Zbl 0991.39506 Mira, Ch. (ed.) et al., Iteration theory. Proceedings of the 7th European conference, ECIT ’89, Batschuns, Austria, September 10-16, 1989. Singapore: World Scientific. 138-148 (1991). MSC: 39B52 39B12 26A18 PDFBibTeX XMLCite \textit{D. Gronau}, in: Iteration theory. Proceedings of the 7th European conference, ECIT '89, Batschuns, Austria, September 10--16, 1989. Singapore: World Scientific. 138--148 (1991; Zbl 0991.39506)
Aczél, János; Gronau, D. On the Jabotinsky equations. (English) Zbl 0693.39004 Differential equations, Proc. EQUADIFF Conf., Xanthi/Greece 1987, Lect. Notes Pure Appl. Math. 118, 1-6 (1989). Reviewer: Y.Suyama MSC: 39B12 PDFBibTeX XML
Gronau, Detlef Some properties of the solutions of the translation equation in Banach spaces. (English) Zbl 0651.39006 Ber. Math.-Stat. Sekt. Forschungsges. Joanneum-Graz 285-296, 290/1-290/14 (1988). Reviewer: Gy.Targonski MSC: 39B52 37-XX PDFBibTeX XML
Aczél, János; Gronau, Detlef Iteration, translation, commuting, and differential equations. (English) Zbl 0651.39005 Ber. Math.-Stat. Sekt. Forschungsges. Joanneum-Graz 285-296, 285/1-285/6 (1988). Reviewer: Gy.Targonski MSC: 39B52 39B99 34K99 37-XX PDFBibTeX XML
Gronau, Detlef Über die multiplikative Translationsgleichung und idempotente Potenzreihenvektoren. (German) Zbl 0571.39002 Aequationes Math. 28, 312-320 (1985). Reviewer: G.L.Forti MSC: 39B12 39B42 26A18 30D05 PDFBibTeX XMLCite \textit{D. Gronau}, Aequationes Math. 28, 312--320 (1985; Zbl 0571.39002) Full Text: DOI EuDML
Gronau, Detlef Two iterative functional equations for power series. (English) Zbl 0526.39009 Aequationes Math. 25, 233-246 (1982). MSC: 39B52 39B99 13J05 22E30 PDFBibTeX XMLCite \textit{D. Gronau}, Aequationes Math. 25, 233--246 (1982; Zbl 0526.39009) Full Text: DOI EuDML