Edit Profile (opens in new tab) Bergweiler, Walter Co-Author Distance Author ID: bergweiler.walter Published as: Bergweiler, Walter; Bergweiler, W. Homepage: http://www.math.uni-kiel.de/analysis/de/bergweiler External Links: MGP · dblp · GND Documents Indexed: 142 Publications since 1984, including 3 Books and 4 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 292 Reviews Co-Authors: 52 Co-Authors with 79 Joint Publications 1,334 Co-Co-Authors all top 5 Co-Authors 64 single-authored 26 Eremenko, Alexandre Émmanuilovich 9 Langley, James K. 4 Stallard, Gwyneth Mary 4 Terglane, Norbert 3 Fletcher, Alastair N. 3 Zheng, Jianhua 2 Bargmann, Detlef 2 Becker, Paul-Georg 2 Drasin, David 2 Hinkkanen, Aimo 2 Ishizaki, Katsuya 2 Jank, Gerhard 2 Karpińska, Bogusława 2 Kriete, Hartje 2 Laine, Ilpo 2 Meier, Hans-Günter 2 Nicks, Daniel A. 2 Rempe-Gillen, Lasse 2 Rippon, Philip Jonathan 2 Ruscheweyh, Stephan 2 Volkmann, Lutz 2 Yanagihara, Niro 1 Agranovsky, Mark L. 1 Aschenbrenner, Matthias 1 Aspenberg, Magnus 1 Barnard, Roger W. 1 Bock, Heinrich 1 Chyzhykov, Igor Elbertovych 1 Clunie, James Gourlay 1 Ding, Jie 1 Fagella, Núria 1 Fuchs, Wolfgang H. J. 1 Haruta, Mako E. 1 Hayman, Walter Kurt 1 Jakimovski, Amnon 1 Kotus, Janina 1 Kumaresan, Premalatha 1 Liu, Dan 1 Meyer, Janis 1 Morosawa, Shunsuke 1 Pang, Xuecheng 1 Parvatham, Rajagopalan 1 Peter, Jörn 1 Rohde, Steffen 1 Saff, Edward Barry 1 Subrahmanyam, Papagudi Venkatachalam 1 Tsantaris, Athanasios 1 von Haeseler, Fritz 1 Wang, Jun 1 Wang, Yuefei 1 Yang, Chung-Chun 1 Yao, Xiao all top 5 Serials 12 Proceedings of the American Mathematical Society 11 Computational Methods and Function Theory 7 Journal d’Analyse Mathématique 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Mathematische Zeitschrift 5 Ergodic Theory and Dynamical Systems 5 Complex Variables. Theory and Application 5 Annales Academiae Scientiarum Fennicae. Mathematica 4 Journal of Mathematical Analysis and Applications 3 Israel Journal of Mathematics 3 Bulletin of the London Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 Analysis 2 Nonlinearity 2 Arkiv för Matematik 2 Archiv der Mathematik 2 Illinois Journal of Mathematics 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Expositiones Mathematicae 2 The Journal of Analysis 2 The Bulletin of the Hong Kong Mathematical Society 2 Journal of the Australian Mathematical Society 2 Oberwolfach Reports 2 Analysis and Mathematical Physics 1 Acta Mathematica 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Methods and Applications of Analysis 1 Journal of Difference Equations and Applications 1 Conformal Geometry and Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Mathematical Physics, Analysis, Geometry 1 Complex Variables and Elliptic Equations 1 Pure and Applied Mathematics Quarterly 1 Textos de Matemática. Série B 1 Science China. Mathematics 1 Annals of the University of Bucharest. Mathematical Series 1 Arnold Mathematical Journal 1 Annales Fennici Mathematici all top 5 Fields 136 Functions of a complex variable (30-XX) 67 Dynamical systems and ergodic theory (37-XX) 12 Ordinary differential equations (34-XX) 9 Difference and functional equations (39-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 1,766 times in 955 Documents Cited by ▼ Year ▼ Iteration of meromorphic functions. Zbl 0791.30018 Bergweiler, Walter 318 1993 On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016 Bergweiler, Walter; Eremenko, Alexandre 195 1995 Zeros of differences of meromorphic functions. Zbl 1114.30028 Bergweiler, Walter; Langley, J. K. 129 2007 On semiconjugation of entire functions. Zbl 0939.30019 Bergweiler, Walter; Hinkkanen, A. 66 1999 Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011 Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 49 2008 Bloch’s principle. Zbl 1101.30034 Bergweiler, Walter 37 2006 Meromorphic solutions of some functional equations. Zbl 0924.39017 Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 34 1998 Multiply connected wandering domains of entire functions. Zbl 1325.37026 Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 28 2013 Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022 Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 26 2002 Invariant domains and singularities. Zbl 0836.30016 Bergweiler, Walter 25 1995 On the limit functions of iterates in wandering domains. Zbl 0793.30022 Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 24 1993 On the growth rate of composite meromorphic functions. Zbl 0648.30022 Bergweiler, Walter 22 1990 A new proof of the Ahlfors five islands theorem. Zbl 0974.30010 Bergweiler, Walter 22 1998 On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341 Bergweiler, Walter; Pang, Xuecheng 22 2003 Iteration of quasiregular mappings. Zbl 1243.30057 Bergweiler, Walter 21 2010 On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021 Bergweiler, W. 21 1995 On the Nevanlinna characteristic of a composite function. Zbl 0628.30035 Bergweiler, Walter 20 1988 On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014 Bergweiler, Walter 19 1995 The escaping set of a quasiregular mapping. Zbl 1161.30008 Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis 19 2009 Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056 Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse 19 2015 The growth rate of an entire function and the Hausdorff dimension of its Julia set. Zbl 1206.37021 Bergweiler, Walter; Karpińska, Bogusława; Stallard, Gwyneth M. 18 2009 Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037 Bergweiler, Walter 18 2013 Periodic points of entire functions: proof of a conjecture of Baker. Zbl 0748.30020 Bergweiler, Walter 17 1991 Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011 Bergweiler, Walter 17 1993 Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098 Bergweiler, Walter; Nicks, Daniel A. 16 2014 Karpińska’s paradox in dimension 3. Zbl 1218.37057 Bergweiler, Walter 16 2010 On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515 Bergweiler, Walter 15 1998 Normality and exceptional values of derivatives. Zbl 0961.30025 Bergweiler, Walter 15 2001 On the dynamics of composite entire functions. Zbl 0906.30025 Bergweiler, Walter; Wang, Yuefei 15 1998 Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013 Bergweiler, Walter; Eremenko, Alexandre 14 2006 Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021 Bergweiler, Walter; Terglane, Norbert 14 1996 Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020 Bergweiler, Walter; Eremenko, Alexandre; Langley, James K. 14 2003 Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009 Bergweiler, Walter; Eremenko, Alexandre 14 2008 The fast escaping set for quasiregular mappings. Zbl 1347.37085 Bergweiler, Walter; Drasin, David; Fletcher, Alastair 14 2014 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012 Bergweiler, Walter 13 2000 Zeros of solutions of a functional equation. Zbl 1087.39022 Bergweiler, Walter; Hayman, Walter K. 13 2003 Proof of a conjecture of Gross concerning fix-points. Zbl 0681.30014 Bergweiler, Walter 12 1990 On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027 Bergweiler, Walter; Karpińska, Bogusława 12 2010 On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018 Bergweiler, Walter; Kotus, Janina 12 2012 Entire functions with Julia sets of positive measure. Zbl 1243.37038 Aspenberg, Magnus; Bergweiler, Walter 11 2012 Nonvanishing derivatives and normal families. Zbl 1071.30031 Bergweiler, Walter; Langley, J. K. 11 2003 On the Bank-Laine conjecture. Zbl 1381.34111 Bergweiler, Walter; Eremenko, Alexandre 11 2017 Order and lower order of composite meromorphic functions. Zbl 0669.30014 Bergweiler, Walter 10 1989 Periodic points and normal families. Zbl 0973.30023 Bargmann, Detlef; Bergweiler, Walter 10 2001 Fixed points of composite entire and quasiregular maps. Zbl 1215.30007 Bergweiler, Walter 10 2006 Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001 Bergweiler, Walter; Eremenko, Alexandre 10 2016 Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015 Bergweiler, Walter; Eremenko, Alexandre 9 2011 On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002 Bergweiler, Walter; Eremenko, Alexandre 9 2010 An entire function with simply and multiply connected wandering domains. Zbl 1257.37029 Bergweiler, Walter 9 2011 Quasiconformal surgery and linear differential equations. Zbl 1419.34235 Bergweiler, Walter; Eremenko, Alexandre 9 2019 On the set where the iterates of an entire function are bounded. Zbl 1408.37076 Bergweiler, Walter 8 2012 Some examples of Baker domains. Zbl 1247.37038 Bergweiler, Walter; Zheng, Jian-Hua 8 2012 Canonical products of infinite order. Zbl 0764.30024 Bergweiler, Walter 8 1992 Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045 Becker, Paul-Georg; Bergweiler, Walter 8 1993 Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039 Bergweiler, Walter; Eremenko, Alexandre 7 2000 Multiplicities in Hayman’s alternative. Zbl 1074.30028 Bergweiler, Walter; Langley, J. K. 7 2005 The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061 Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A. 7 2014 Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044 Bergweiler, Walter; Peter, Jörn 7 2013 Baker domains for Newton’s method. Zbl 1122.30019 Bergweiler, Walter; Drasin, David; Langley, James 6 2007 On meromorphic functions that share three values and on the exceptional set in Wiman-Valiron theory. Zbl 0708.30030 Bergweiler, Walter 6 1990 Quasinormal families and periodic points. Zbl 1089.30028 Bergweiler, Walter 6 2005 Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004 Bergweiler, Walter; Eremenko, Alexandre 6 2009 On the value distribution of composite meromorphic functions. Zbl 0793.30023 Bergweiler, Walter; Yang, Chung-Chun 6 1993 On the fix-points of composite functions. Zbl 0649.30018 Bergweiler, Walter 5 1990 An introduction to complex dynamics. Zbl 0893.58034 Bergweiler, Walter 5 1995 On the product of a meromorphic function and its derivative. Zbl 0928.30016 Bergweiler, Walter 5 1997 On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031 Bergweiler, Walter; Zheng, Jian-Hua 5 2011 Rescaling principles in function theory. Zbl 0993.30018 Bergweiler, Walter 5 2001 Maximum modulus, characteristic, and area on the sphere. Zbl 0703.30025 Bergweiler, Walter 5 1990 Periodische Punkte bei der Iteration ganzer Funktionen. Zbl 0728.30021 Bergweiler, Walter 5 1991 A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024 Bergweiler, Walter 5 1994 Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012 Bergweiler, Walter; Eremenko, Alexandre 5 2015 Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134 Bergweiler, Walter; Chyzhykov, Igor 5 2016 Singularities in Baker domains. Zbl 1034.30018 Bergweiler, Walter 5 2001 Entire functions with two radially distributed values. Zbl 1405.30027 Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo 5 2018 Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019 Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz 4 1984 Newton’s method and Baker domains. Zbl 1201.30025 Bergweiler, Walter 4 2010 Omitted values in domains of normality. Zbl 0826.30016 Bergweiler, Walter; Rohde, Steffen 4 1995 Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025 Bergweiler, Walter 4 2004 On the growth of meromorphic functions of infinite order. Zbl 0828.30013 Bergweiler, Walter; Bock, Heinrich 4 1994 On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017 Bergweiler, Walter 4 1992 An example concerning factorization of rational functions. Zbl 0780.30022 Bergweiler, Walter 4 1993 Meromorphic functions with two completely invariant domains. Zbl 1168.30009 Bergweiler, Walter; Eremenko, Alexandre 4 2008 Julia’s equation and differential transcendence. Zbl 1345.30029 Aschenbrenner, Matthias; Bergweiler, Walter 4 2015 On the number of critical points in parabolic basins. Zbl 1008.37025 Bergweiler, Walter 4 2002 Semihyperbolic entire functions. Zbl 1026.30025 Bergweiler, Walter; Morosawa, Shunsuke 4 2002 Gol’dberg’s constants. Zbl 1304.30034 Bergweiler, Walter; Eremenko, Alexandre 4 2013 Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064 Bergweiler, Walter 4 2018 An inequality for real functions with applications to function theory. Zbl 0638.30028 Bergweiler, Walter 3 1989 A property of the derivative of an entire function. Zbl 1291.30181 Bergweiler, Walter; Eremenko, Alexandre 3 2012 The size of Wilman-Valiron discs. Zbl 1226.30029 Bergweiler, W. 3 2011 On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017 Bergweiler, Walter; Terglane, Norbert 3 1998 Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015 Becker, Paul-Georg; Bergweiler, Walter 3 1995 Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005 Bergweiler, Walter 3 1995 On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013 Bergweiler, Walter 3 1995 A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049 Bergweiler, Walter 3 2002 Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020 Bergweiler, Walter; Eremenko, Alex; Langley, Jim K. 3 2005 Newton’s method for meromorphic functions. Zbl 0810.30017 Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 3 1994 Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050 3 2009 Radially distributed values and normal families. Zbl 1480.30024 Bergweiler, Walter; Eremenko, Alexandre 3 2019 The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class. Zbl 1511.37053 Bergweiler, Walter; Cui, Weiwei 1 2022 Radially distributed values and normal families. II. Zbl 1462.30014 Bergweiler, Walter; Eremenko, Alexandre 1 2020 Quasiconformal surgery and linear differential equations. Zbl 1419.34235 Bergweiler, Walter; Eremenko, Alexandre 9 2019 Radially distributed values and normal families. Zbl 1480.30024 Bergweiler, Walter; Eremenko, Alexandre 3 2019 Entire functions with two radially distributed values. Zbl 1405.30027 Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo 5 2018 Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064 Bergweiler, Walter 4 2018 On the number of solutions of some transcendental equations. Zbl 1401.30016 Bergweiler, Walter; Eremenko, Alexandre 3 2018 On the Bank-Laine conjecture. Zbl 1381.34111 Bergweiler, Walter; Eremenko, Alexandre 11 2017 Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001 Bergweiler, Walter; Eremenko, Alexandre 10 2016 Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134 Bergweiler, Walter; Chyzhykov, Igor 5 2016 Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056 Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse 19 2015 Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012 Bergweiler, Walter; Eremenko, Alexandre 5 2015 Julia’s equation and differential transcendence. Zbl 1345.30029 Aschenbrenner, Matthias; Bergweiler, Walter 4 2015 An entire function with no fixed points and no invariant Baker domains. Zbl 1401.37053 Bergweiler, Walter 1 2015 Hausdorff measure of hairs without endpoints in the exponential family. Zbl 1343.37024 Bergweiler, Walter; Wang, Jun 1 2015 Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098 Bergweiler, Walter; Nicks, Daniel A. 16 2014 The fast escaping set for quasiregular mappings. Zbl 1347.37085 Bergweiler, Walter; Drasin, David; Fletcher, Alastair 14 2014 The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061 Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A. 7 2014 Multiply connected wandering domains of entire functions. Zbl 1325.37026 Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 28 2013 Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037 Bergweiler, Walter 18 2013 Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044 Bergweiler, Walter; Peter, Jörn 7 2013 Gol’dberg’s constants. Zbl 1304.30034 Bergweiler, Walter; Eremenko, Alexandre 4 2013 On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018 Bergweiler, Walter; Kotus, Janina 12 2012 Entire functions with Julia sets of positive measure. Zbl 1243.37038 Aspenberg, Magnus; Bergweiler, Walter 11 2012 On the set where the iterates of an entire function are bounded. Zbl 1408.37076 Bergweiler, Walter 8 2012 Some examples of Baker domains. Zbl 1247.37038 Bergweiler, Walter; Zheng, Jian-Hua 8 2012 A property of the derivative of an entire function. Zbl 1291.30181 Bergweiler, Walter; Eremenko, Alexandre 3 2012 On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077 Bergweiler, Walter 3 2012 Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015 Bergweiler, Walter; Eremenko, Alexandre 9 2011 An entire function with simply and multiply connected wandering domains. Zbl 1257.37029 Bergweiler, Walter 9 2011 On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031 Bergweiler, Walter; Zheng, Jian-Hua 5 2011 The size of Wilman-Valiron discs. Zbl 1226.30029 Bergweiler, W. 3 2011 Iteration of quasiregular mappings. Zbl 1243.30057 Bergweiler, Walter 21 2010 Karpińska’s paradox in dimension 3. Zbl 1218.37057 Bergweiler, Walter 16 2010 On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027 Bergweiler, Walter; Karpińska, Bogusława 12 2010 On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002 Bergweiler, Walter; Eremenko, Alexandre 9 2010 Newton’s method and Baker domains. Zbl 1201.30025 Bergweiler, Walter 4 2010 Normal families and fixed points of iterates. Zbl 1213.30064 Bergweiler, Walter 2 2010 The escaping set of a quasiregular mapping. Zbl 1161.30008 Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis 19 2009 The growth rate of an entire function and the Hausdorff dimension of its Julia set. Zbl 1206.37021 Bergweiler, Walter; Karpińska, Bogusława; Stallard, Gwyneth M. 18 2009 Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004 Bergweiler, Walter; Eremenko, Alexandre 6 2009 Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050 3 2009 Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011 Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 49 2008 Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009 Bergweiler, Walter; Eremenko, Alexandre 14 2008 Meromorphic functions with two completely invariant domains. Zbl 1168.30009 Bergweiler, Walter; Eremenko, Alexandre 4 2008 Permutable entire functions satisfying algebraic differential equations. Zbl 1168.30008 Bergweiler, Walter 1 2008 Zeros of differences of meromorphic functions. Zbl 1114.30028 Bergweiler, Walter; Langley, J. K. 129 2007 Baker domains for Newton’s method. Zbl 1122.30019 Bergweiler, Walter; Drasin, David; Langley, James 6 2007 Bloch’s principle. Zbl 1101.30034 Bergweiler, Walter 37 2006 Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013 Bergweiler, Walter; Eremenko, Alexandre 14 2006 Fixed points of composite entire and quasiregular maps. Zbl 1215.30007 Bergweiler, Walter 10 2006 Multiplicities in Hayman’s alternative. Zbl 1074.30028 Bergweiler, Walter; Langley, J. K. 7 2005 Quasinormal families and periodic points. Zbl 1089.30028 Bergweiler, Walter 6 2005 Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020 Bergweiler, Walter; Eremenko, Alex; Langley, Jim K. 3 2005 Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025 Bergweiler, Walter 4 2004 On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341 Bergweiler, Walter; Pang, Xuecheng 22 2003 Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020 Bergweiler, Walter; Eremenko, Alexandre; Langley, James K. 14 2003 Zeros of solutions of a functional equation. Zbl 1087.39022 Bergweiler, Walter; Hayman, Walter K. 13 2003 Nonvanishing derivatives and normal families. Zbl 1071.30031 Bergweiler, Walter; Langley, J. K. 11 2003 Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022 Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 26 2002 On the number of critical points in parabolic basins. Zbl 1008.37025 Bergweiler, Walter 4 2002 Semihyperbolic entire functions. Zbl 1026.30025 Bergweiler, Walter; Morosawa, Shunsuke 4 2002 A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049 Bergweiler, Walter 3 2002 Normality and exceptional values of derivatives. Zbl 0961.30025 Bergweiler, Walter 15 2001 Periodic points and normal families. Zbl 0973.30023 Bargmann, Detlef; Bergweiler, Walter 10 2001 Rescaling principles in function theory. Zbl 0993.30018 Bergweiler, Walter 5 2001 Singularities in Baker domains. Zbl 1034.30018 Bergweiler, Walter 5 2001 Correction to the paper “Entire functions of slow growth whose Julia set coincides with the plane”. Zbl 1096.37502 Bergweiler, Walter; Eremenko, Alexandre 2 2001 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012 Bergweiler, Walter 13 2000 Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039 Bergweiler, Walter; Eremenko, Alexandre 7 2000 On semiconjugation of entire functions. Zbl 0939.30019 Bergweiler, Walter; Hinkkanen, A. 66 1999 Meromorphic solutions of some functional equations. Zbl 0924.39017 Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 34 1998 A new proof of the Ahlfors five islands theorem. Zbl 0974.30010 Bergweiler, Walter 22 1998 On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515 Bergweiler, Walter 15 1998 On the dynamics of composite entire functions. Zbl 0906.30025 Bergweiler, Walter; Wang, Yuefei 15 1998 On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017 Bergweiler, Walter; Terglane, Norbert 3 1998 On the product of a meromorphic function and its derivative. Zbl 0928.30016 Bergweiler, Walter 5 1997 Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021 Bergweiler, Walter; Terglane, Norbert 14 1996 A quantitative version of Picard’s theorem. Zbl 0861.30029 Bergweiler, Walter 1 1996 On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016 Bergweiler, Walter; Eremenko, Alexandre 195 1995 Invariant domains and singularities. Zbl 0836.30016 Bergweiler, Walter 25 1995 On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021 Bergweiler, W. 21 1995 On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014 Bergweiler, Walter 19 1995 An introduction to complex dynamics. Zbl 0893.58034 Bergweiler, Walter 5 1995 Omitted values in domains of normality. Zbl 0826.30016 Bergweiler, Walter; Rohde, Steffen 4 1995 Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015 Becker, Paul-Georg; Bergweiler, Walter 3 1995 Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005 Bergweiler, Walter 3 1995 On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013 Bergweiler, Walter 3 1995 Proof of a conjecture of Baker concerning the distribution of fixpoints. Zbl 0822.30024 Bergweiler, Walter; Clunie, Jim; Langley, Jim 1 1995 On factorization of certain entire functions. Zbl 0830.30015 Bergweiler, Walter 1 1995 A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024 Bergweiler, Walter 5 1994 On the growth of meromorphic functions of infinite order. Zbl 0828.30013 Bergweiler, Walter; Bock, Heinrich 4 1994 Newton’s method for meromorphic functions. Zbl 0810.30017 Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 3 1994 Open problems in complex analysis. Zbl 0822.30001 Bergweiler, W.; Laine, I. 2 1994 Iteration of meromorphic functions. Zbl 0791.30018 Bergweiler, Walter 318 1993 On the limit functions of iterates in wandering domains. Zbl 0793.30022 Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 24 1993 Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011 Bergweiler, Walter 17 1993 Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045 Becker, Paul-Georg; Bergweiler, Walter 8 1993 On the value distribution of composite meromorphic functions. Zbl 0793.30023 Bergweiler, Walter; Yang, Chung-Chun 6 1993 An example concerning factorization of rational functions. Zbl 0780.30022 Bergweiler, Walter 4 1993 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 645 Authors 67 Bergweiler, Walter 37 Langley, James K. 31 Chen, Zongxuan 24 Biswas, Tanmay 22 Sixsmith, David Jonathan 20 Fang, Mingliang 20 Rempe-Gillen, Lasse 20 Rippon, Philip Jonathan 19 Eremenko, Alexandre Émmanuilovich 19 Fletcher, Alastair N. 19 Stallard, Gwyneth Mary 19 Yang, Chung-Chun 18 Fagella, Núria 17 Wang, Yuefei 17 Yuan, Wenjun 16 Liu, Kai 15 Nicks, Daniel A. 15 Yang, Lianzhong 15 Zheng, Jianhua 14 Urbański, Mariusz 13 Pang, Xuecheng 12 Kotus, Janina 12 Zalcman, Lawrence Allen 11 Evdoridou, Vasiliki 11 Qi, Jianming 11 Wang, Jun 11 Yi, Hongxun 10 Chang, Jianming 10 Hawkins, Jane M. 10 Huang, Zhibo 10 Jarque, Xavier 10 Nayak, Tarakanta 10 Xu, Junfeng 9 Barański, Krzysztof 9 Benini, Anna Miriam 9 Biswas, Chinmay 9 Hu, Peichu 9 Karpińska, Bogusława 9 Kumar Datta, Sanjib 9 Li, Sheng 9 Lu, Feng 9 Mayer, Volker 9 Xu, Hongyan 9 Zhang, Guowei 8 Charak, Kuldeep Singh 8 Heittokangas, Janne M. 8 Koss, Lorelei 8 Liao, Liangwen 8 Lu, Weiran 8 Majumder, Sujoy 8 Nevo, Shahar 8 Shon, Kwangho 8 Xu, Yan 8 Zheng, Xiumin 7 Cao, Tingbin 7 Chen, Baoqin 7 Ishizaki, Katsuya 7 Li, Xiaomin 7 Zhang, Xiaobin 6 Banerjee, Dibyendu 6 Bishop, Christopher James 6 Ding, Jie 6 Huang, Zhigang 6 Lan, Shuangting 6 Lin, Jianming 6 Liu, Dan 6 Liu, Xinling 6 Liu, Yong 6 Qi, Xiaoguang 6 Sienra, Guillermo J. F. 6 Tohge, Kazuya 6 Wang, Xiaoling 6 Zhang, Ranran 5 Banerjee, Abhijit 5 Cao, Chunlei 5 Chai, Fujie 5 Chen, Chuangxin 5 Chiang, Yik-Man 5 Deng, Bingmao 5 Domínguez, Patricia 5 Drasin, David 5 Gao, Zongsheng 5 Korhonen, Risto 5 Laine, Ilpo 5 Lundberg, Erik 5 Martí-Pete, David 5 Osborne, John W. 5 Prasad, M. Guru Prem 5 Tomar, Garima 5 Wen, Zhitao 5 Wu, Linlin 5 Yang, Pai 5 Yao, Xiao 5 Zdunik, Anna 4 Adhikary, Mithun 4 Ahamed, Molla Basir 4 Annaby, Mahmoud H. 4 Aspenberg, Magnus 4 Chakra, Tarun Kumar 4 Chen, Wei ...and 545 more Authors all top 5 Cited in 204 Serials 63 Journal of Mathematical Analysis and Applications 57 Computational Methods and Function Theory 44 Proceedings of the American Mathematical Society 37 Advances in Difference Equations 36 Journal d’Analyse Mathématique 34 Ergodic Theory and Dynamical Systems 21 Transactions of the American Mathematical Society 21 Complex Variables and Elliptic Equations 20 Mathematical Proceedings of the Cambridge Philosophical Society 20 Abstract and Applied Analysis 18 Journal of Difference Equations and Applications 17 Mathematische Zeitschrift 17 Conformal Geometry and Dynamics 14 Acta Mathematica Sinica. English Series 13 Results in Mathematics 12 Journal of Inequalities and Applications 12 Acta Mathematica Scientia. Series B. 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The Pure and Applied Mathematics 4 Arnold Mathematical Journal 3 Communications in Mathematical Physics 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 The Journal of the Indian Mathematical Society. New Series 3 Kodai Mathematical Journal 3 Mathematica Slovaca 3 Tôhoku Mathematical Journal. Second Series 3 Topology and its Applications 3 Chinese Annals of Mathematics. Series B 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Dynamics and Differential Equations 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Lobachevskii Journal of Mathematics 3 Dynamical Systems 3 Mediterranean Journal of Mathematics 3 Tbilisi Mathematical Journal 3 Journal of Classical Analysis 3 Journal of Complex Analysis 3 Open Mathematics 3 AIMS Mathematics 2 Mathematical Methods in the Applied Sciences 2 Annales de l’Institut Fourier 2 Canadian Mathematical Bulletin 2 Compositio Mathematica 2 Czechoslovak Mathematical Journal 2 Gaṇita 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Applied Mathematics Letters 2 Sugaku Expositions 2 International Journal of Mathematics 2 IMRN. International Mathematics Research Notices 2 Geometric and Functional Analysis. GAFA ...and 104 more Serials all top 5 Cited in 40 Fields 822 Functions of a complex variable (30-XX) 358 Dynamical systems and ergodic theory (37-XX) 126 Difference and functional equations (39-XX) 83 Ordinary differential equations (34-XX) 33 Several complex variables and analytic spaces (32-XX) 20 Special functions (33-XX) 19 Measure and integration (28-XX) 16 Number theory (11-XX) 13 Potential theory (31-XX) 10 Numerical analysis (65-XX) 9 General topology (54-XX) 8 Real functions (26-XX) 8 Partial differential equations (35-XX) 6 Field theory and polynomials (12-XX) 6 Differential geometry (53-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Relativity and gravitational theory (83-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year