Edit Profile (opens in new tab) Bergweiler, Walter Compute Distance To: Compute 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: 137 Publications since 1984, including 3 Books 3 Contributions as Editor Reviewing Activity: 285 Reviews Co-Authors: 51 Co-Authors with 75 Joint Publications 1,381 Co-Co-Authors all top 5 Co-Authors 64 single-authored 23 Eremenko, Alexandre Émmanuilovich 8 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 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 Rempe-Gillen, Lasse 1 Rohde, Steffen 1 Saff, Edward Barry 1 Subrahmanyam, Papagudi Venkatachalam 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 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 131 Functions of a complex variable (30-XX) 65 Dynamical systems and ergodic theory (37-XX) 11 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 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 113 Publications have been cited 1,633 times in 874 Documents Cited by ▼ Year ▼ Iteration of meromorphic functions. Zbl 0791.30018Bergweiler, Walter 297 1993 On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016Bergweiler, Walter; Eremenko, Alexandre 181 1995 Zeros of differences of meromorphic functions. Zbl 1114.30028Bergweiler, Walter; Langley, J. K. 118 2007 On semiconjugation of entire functions. Zbl 0939.30019Bergweiler, Walter; Hinkkanen, A. 62 1999 Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 46 2008 Bloch’s principle. Zbl 1101.30034Bergweiler, Walter 33 2006 Meromorphic solutions of some functional equations. Zbl 0924.39017Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 31 1998 Invariant domains and singularities. Zbl 0836.30016Bergweiler, Walter 24 1995 Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 24 2002 On the growth rate of composite meromorphic functions. Zbl 0648.30022Bergweiler, Walter 22 1990 On the limit functions of iterates in wandering domains. Zbl 0793.30022Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 21 1993 On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021Bergweiler, W. 21 1995 On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341Bergweiler, Walter; Pang, Xuecheng 21 2003 A new proof of the Ahlfors five islands theorem. Zbl 0974.30010Bergweiler, Walter 20 1998 Multiply connected wandering domains of entire functions. Zbl 1325.37026Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 20 2013 The escaping set of a quasiregular mapping. Zbl 1161.30008Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis 19 2009 Iteration of quasiregular mappings. Zbl 1243.30057Bergweiler, Walter 19 2010 On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014Bergweiler, Walter 18 1995 On the Nevanlinna characteristic of a composite function. Zbl 0628.30035Bergweiler, Walter 17 1988 Periodic points of entire functions: proof of a conjecture of Baker. Zbl 0748.30020Bergweiler, Walter 17 1991 Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse 16 2015 The growth rate of an entire function and the Hausdorff dimension of its Julia set. Zbl 1206.37021Bergweiler, Walter; Karpińska, Bogusława; Stallard, Gwyneth M. 16 2009 Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037Bergweiler, Walter 16 2013 Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011Bergweiler, Walter 15 1993 On the dynamics of composite entire functions. Zbl 0906.30025Bergweiler, Walter; Wang, Yuefei 15 1998 Normality and exceptional values of derivatives. Zbl 0961.30025Bergweiler, Walter 15 2001 On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515Bergweiler, Walter 15 1998 Karpińska’s paradox in dimension 3. Zbl 1218.37057Bergweiler, Walter 14 2010 Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021Bergweiler, Walter; Terglane, Norbert 14 1996 The fast escaping set for quasiregular mappings. Zbl 1347.37085Bergweiler, Walter; Drasin, David; Fletcher, Alastair 14 2014 Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098Bergweiler, Walter; Nicks, Daniel A. 14 2014 Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020Bergweiler, Walter; Eremenko, Alexandre; Langley, James K. 13 2003 Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009Bergweiler, Walter; Eremenko, Alexandre 13 2008 Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013Bergweiler, Walter; Eremenko, Alexandre 13 2006 Zeros of solutions of a functional equation. Zbl 1087.39022Bergweiler, Walter; Hayman, Walter K. 13 2003 On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027Bergweiler, Walter; Karpińska, Bogusława 12 2010 Proof of a conjecture of Gross concerning fix-points. Zbl 0681.30014Bergweiler, Walter 12 1990 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012Bergweiler, Walter 12 2000 On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018Bergweiler, Walter; Kotus, Janina 11 2012 Nonvanishing derivatives and normal families. Zbl 1071.30031Bergweiler, Walter; Langley, J. K. 11 2003 Fixed points of composite entire and quasiregular maps. Zbl 1215.30007Bergweiler, Walter 10 2006 Order and lower order of composite meromorphic functions. Zbl 0669.30014Bergweiler, Walter 10 1989 Entire functions with Julia sets of positive measure. Zbl 1243.37038Aspenberg, Magnus; Bergweiler, Walter 10 2012 Periodic points and normal families. Zbl 0973.30023Bargmann, Detlef; Bergweiler, Walter 10 2001 Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015Bergweiler, Walter; Eremenko, Alexandre 9 2011 On the set where the iterates of an entire function are bounded. Zbl 1408.37076Bergweiler, Walter 8 2012 Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001Bergweiler, Walter; Eremenko, Alexandre 8 2016 On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002Bergweiler, Walter; Eremenko, Alexandre 8 2010 Canonical products of infinite order. Zbl 0764.30024Bergweiler, Walter 8 1992 Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045Becker, Paul-Georg; Bergweiler, Walter 8 1993 Some examples of Baker domains. Zbl 1247.37038Bergweiler, Walter; Zheng, Jian-Hua 7 2012 The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A. 7 2014 On the Bank-Laine conjecture. Zbl 1381.34111Bergweiler, Walter; Eremenko, Alexandre 7 2017 An entire function with simply and multiply connected wandering domains. Zbl 1257.37029Bergweiler, Walter 7 2011 Multiplicities in Hayman’s alternative. Zbl 1074.30028Bergweiler, Walter; Langley, J. K. 7 2005 Quasiconformal surgery and linear differential equations. Zbl 1419.34235Bergweiler, Walter; Eremenko, Alexandre 6 2019 On meromorphic functions that share three values and on the exceptional set in Wiman-Valiron theory. Zbl 0708.30030Bergweiler, Walter 6 1990 Quasinormal families and periodic points. Zbl 1089.30028Bergweiler, Walter 6 2005 On the value distribution of composite meromorphic functions. Zbl 0793.30023Bergweiler, Walter; Yang, Chung-Chun 6 1993 Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004Bergweiler, Walter; Eremenko, Alexandre 6 2009 Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044Bergweiler, Walter; Peter, Jörn 6 2013 Baker domains for Newton’s method. Zbl 1122.30019Bergweiler, Walter; Drasin, David; Langley, James 6 2007 Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039Bergweiler, Walter; Eremenko, Alexandre 6 2000 Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134Bergweiler, Walter; Chyzhykov, Igor 5 2016 Entire functions with two radially distributed values. Zbl 1405.30027Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo 5 2018 Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012Bergweiler, Walter; Eremenko, Alexandre 5 2015 On the product of a meromorphic function and its derivative. Zbl 0928.30016Bergweiler, Walter 5 1997 Periodische Punkte bei der Iteration ganzer Funktionen. Zbl 0728.30021Bergweiler, Walter 5 1991 A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024Bergweiler, Walter 5 1994 On the fix-points of composite functions. Zbl 0649.30018Bergweiler, Walter 5 1990 Singularities in Baker domains. Zbl 1034.30018Bergweiler, Walter 5 2001 Rescaling principles in function theory. Zbl 0993.30018Bergweiler, Walter 5 2001 Julia’s equation and differential transcendence. Zbl 1345.30029Aschenbrenner, Matthias; Bergweiler, Walter 4 2015 Newton’s method and Baker domains. Zbl 1201.30025Bergweiler, Walter 4 2010 Maximum modulus, characteristic, and area on the sphere. Zbl 0703.30025Bergweiler, Walter 4 1990 Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz 4 1984 On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017Bergweiler, Walter 4 1992 An example concerning factorization of rational functions. Zbl 0780.30022Bergweiler, Walter 4 1993 Omitted values in domains of normality. Zbl 0826.30016Bergweiler, Walter; Rohde, Steffen 4 1995 An introduction to complex dynamics. Zbl 0893.58034Bergweiler, Walter 4 1995 Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064Bergweiler, Walter 4 2018 Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025Bergweiler, Walter 4 2004 On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077Bergweiler, Walter 3 2012 The size of Wilman-Valiron discs. Zbl 1226.30029Bergweiler, W. 3 2011 On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031Bergweiler, Walter; Zheng, Jian-Hua 3 2011 Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050 3 2009 An inequality for real functions with applications to function theory. Zbl 0638.30028Bergweiler, Walter 3 1989 Newton’s method for meromorphic functions. Zbl 0810.30017Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 3 1994 On the growth of meromorphic functions of infinite order. Zbl 0828.30013Bergweiler, Walter; Bock, Heinrich 3 1994 Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015Becker, Paul-Georg; Bergweiler, Walter 3 1995 Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005Bergweiler, Walter 3 1995 On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013Bergweiler, Walter 3 1995 Gol’dberg’s constants. Zbl 1304.30034Bergweiler, Walter; Eremenko, Alexandre 3 2013 On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017Bergweiler, Walter; Terglane, Norbert 3 1998 A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049Bergweiler, Walter 3 2002 On the number of critical points in parabolic basins. Zbl 1008.37025Bergweiler, Walter 3 2002 A property of the derivative of an entire function. Zbl 1291.30181Bergweiler, Walter; Eremenko, Alexandre 3 2012 Radially distributed values and normal families. Zbl 1480.30024Bergweiler, Walter; Eremenko, Alexandre 3 2019 Meromorphic functions with two completely invariant domains. Zbl 1168.30009Bergweiler, Walter; Eremenko, Alexandre 2 2008 On the number of solutions of some transcendental equations. Zbl 1401.30016Bergweiler, Walter; Eremenko, Alexandre 2 2018 Radially distributed values and normal families. II. Zbl 1462.30014Bergweiler, Walter; Eremenko, Alexandre 1 2020 Quasiconformal surgery and linear differential equations. Zbl 1419.34235Bergweiler, Walter; Eremenko, Alexandre 6 2019 Radially distributed values and normal families. Zbl 1480.30024Bergweiler, Walter; Eremenko, Alexandre 3 2019 Entire functions with two radially distributed values. Zbl 1405.30027Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo 5 2018 Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064Bergweiler, Walter 4 2018 On the number of solutions of some transcendental equations. Zbl 1401.30016Bergweiler, Walter; Eremenko, Alexandre 2 2018 On the Bank-Laine conjecture. Zbl 1381.34111Bergweiler, Walter; Eremenko, Alexandre 7 2017 Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001Bergweiler, Walter; Eremenko, Alexandre 8 2016 Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134Bergweiler, Walter; Chyzhykov, Igor 5 2016 Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse 16 2015 Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012Bergweiler, Walter; Eremenko, Alexandre 5 2015 Julia’s equation and differential transcendence. Zbl 1345.30029Aschenbrenner, Matthias; Bergweiler, Walter 4 2015 An entire function with no fixed points and no invariant Baker domains. Zbl 1401.37053Bergweiler, Walter 1 2015 Hausdorff measure of hairs without endpoints in the exponential family. Zbl 1343.37024Bergweiler, Walter; Wang, Jun 1 2015 The fast escaping set for quasiregular mappings. Zbl 1347.37085Bergweiler, Walter; Drasin, David; Fletcher, Alastair 14 2014 Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098Bergweiler, Walter; Nicks, Daniel A. 14 2014 The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A. 7 2014 Multiply connected wandering domains of entire functions. Zbl 1325.37026Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 20 2013 Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037Bergweiler, Walter 16 2013 Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044Bergweiler, Walter; Peter, Jörn 6 2013 Gol’dberg’s constants. Zbl 1304.30034Bergweiler, Walter; Eremenko, Alexandre 3 2013 On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018Bergweiler, Walter; Kotus, Janina 11 2012 Entire functions with Julia sets of positive measure. Zbl 1243.37038Aspenberg, Magnus; Bergweiler, Walter 10 2012 On the set where the iterates of an entire function are bounded. Zbl 1408.37076Bergweiler, Walter 8 2012 Some examples of Baker domains. Zbl 1247.37038Bergweiler, Walter; Zheng, Jian-Hua 7 2012 On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077Bergweiler, Walter 3 2012 A property of the derivative of an entire function. Zbl 1291.30181Bergweiler, Walter; Eremenko, Alexandre 3 2012 Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015Bergweiler, Walter; Eremenko, Alexandre 9 2011 An entire function with simply and multiply connected wandering domains. Zbl 1257.37029Bergweiler, Walter 7 2011 The size of Wilman-Valiron discs. Zbl 1226.30029Bergweiler, W. 3 2011 On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031Bergweiler, Walter; Zheng, Jian-Hua 3 2011 Iteration of quasiregular mappings. Zbl 1243.30057Bergweiler, Walter 19 2010 Karpińska’s paradox in dimension 3. Zbl 1218.37057Bergweiler, Walter 14 2010 On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027Bergweiler, Walter; Karpińska, Bogusława 12 2010 On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002Bergweiler, Walter; Eremenko, Alexandre 8 2010 Newton’s method and Baker domains. Zbl 1201.30025Bergweiler, Walter 4 2010 Normal families and fixed points of iterates. Zbl 1213.30064Bergweiler, Walter 2 2010 The escaping set of a quasiregular mapping. Zbl 1161.30008Bergweiler, 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 1206.37021Bergweiler, Walter; Karpińska, Bogusława; Stallard, Gwyneth M. 16 2009 Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004Bergweiler, 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 1174.37011Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 46 2008 Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009Bergweiler, Walter; Eremenko, Alexandre 13 2008 Meromorphic functions with two completely invariant domains. Zbl 1168.30009Bergweiler, Walter; Eremenko, Alexandre 2 2008 Permutable entire functions satisfying algebraic differential equations. Zbl 1168.30008Bergweiler, Walter 1 2008 Zeros of differences of meromorphic functions. Zbl 1114.30028Bergweiler, Walter; Langley, J. K. 118 2007 Baker domains for Newton’s method. Zbl 1122.30019Bergweiler, Walter; Drasin, David; Langley, James 6 2007 Bloch’s principle. Zbl 1101.30034Bergweiler, Walter 33 2006 Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013Bergweiler, Walter; Eremenko, Alexandre 13 2006 Fixed points of composite entire and quasiregular maps. Zbl 1215.30007Bergweiler, Walter 10 2006 Multiplicities in Hayman’s alternative. Zbl 1074.30028Bergweiler, Walter; Langley, J. K. 7 2005 Quasinormal families and periodic points. Zbl 1089.30028Bergweiler, Walter 6 2005 Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020Bergweiler, Walter; Eremenko, Alex; Langley, Jim K. 2 2005 Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025Bergweiler, Walter 4 2004 On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341Bergweiler, Walter; Pang, Xuecheng 21 2003 Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020Bergweiler, Walter; Eremenko, Alexandre; Langley, James K. 13 2003 Zeros of solutions of a functional equation. Zbl 1087.39022Bergweiler, Walter; Hayman, Walter K. 13 2003 Nonvanishing derivatives and normal families. Zbl 1071.30031Bergweiler, Walter; Langley, J. K. 11 2003 Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 24 2002 A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049Bergweiler, Walter 3 2002 On the number of critical points in parabolic basins. Zbl 1008.37025Bergweiler, Walter 3 2002 Semihyperbolic entire functions. Zbl 1026.30025Bergweiler, Walter; Morosawa, Shunsuke 2 2002 Normality and exceptional values of derivatives. Zbl 0961.30025Bergweiler, Walter 15 2001 Periodic points and normal families. Zbl 0973.30023Bargmann, Detlef; Bergweiler, Walter 10 2001 Singularities in Baker domains. Zbl 1034.30018Bergweiler, Walter 5 2001 Rescaling principles in function theory. Zbl 0993.30018Bergweiler, Walter 5 2001 Correction to the paper “Entire functions of slow growth whose Julia set coincides with the plane”. Zbl 1096.37502Bergweiler, Walter; Eremenko, Alexandre 2 2001 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012Bergweiler, Walter 12 2000 Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039Bergweiler, Walter; Eremenko, Alexandre 6 2000 On semiconjugation of entire functions. Zbl 0939.30019Bergweiler, Walter; Hinkkanen, A. 62 1999 Meromorphic solutions of some functional equations. Zbl 0924.39017Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 31 1998 A new proof of the Ahlfors five islands theorem. Zbl 0974.30010Bergweiler, Walter 20 1998 On the dynamics of composite entire functions. Zbl 0906.30025Bergweiler, Walter; Wang, Yuefei 15 1998 On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515Bergweiler, Walter 15 1998 On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017Bergweiler, Walter; Terglane, Norbert 3 1998 On the product of a meromorphic function and its derivative. Zbl 0928.30016Bergweiler, Walter 5 1997 Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021Bergweiler, Walter; Terglane, Norbert 14 1996 A quantitative version of Picard’s theorem. Zbl 0861.30029Bergweiler, Walter 1 1996 On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016Bergweiler, Walter; Eremenko, Alexandre 181 1995 Invariant domains and singularities. Zbl 0836.30016Bergweiler, Walter 24 1995 On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021Bergweiler, W. 21 1995 On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014Bergweiler, Walter 18 1995 Omitted values in domains of normality. Zbl 0826.30016Bergweiler, Walter; Rohde, Steffen 4 1995 An introduction to complex dynamics. Zbl 0893.58034Bergweiler, Walter 4 1995 Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015Becker, Paul-Georg; Bergweiler, Walter 3 1995 Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005Bergweiler, Walter 3 1995 On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013Bergweiler, Walter 3 1995 Proof of a conjecture of Baker concerning the distribution of fixpoints. Zbl 0822.30024Bergweiler, Walter; Clunie, Jim; Langley, Jim 1 1995 A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024Bergweiler, Walter 5 1994 Newton’s method for meromorphic functions. Zbl 0810.30017Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 3 1994 On the growth of meromorphic functions of infinite order. Zbl 0828.30013Bergweiler, Walter; Bock, Heinrich 3 1994 Open problems in complex analysis. Zbl 0822.30001Bergweiler, W.; Laine, I. 2 1994 Iteration of meromorphic functions. Zbl 0791.30018Bergweiler, Walter 297 1993 On the limit functions of iterates in wandering domains. Zbl 0793.30022Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 21 1993 Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011Bergweiler, Walter 15 1993 Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045Becker, Paul-Georg; Bergweiler, Walter 8 1993 On the value distribution of composite meromorphic functions. Zbl 0793.30023Bergweiler, Walter; Yang, Chung-Chun 6 1993 An example concerning factorization of rational functions. Zbl 0780.30022Bergweiler, Walter 4 1993 Canonical products of infinite order. Zbl 0764.30024Bergweiler, Walter 8 1992 On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017Bergweiler, Walter 4 1992 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 595 Authors 65 Bergweiler, Walter 36 Langley, James K. 31 Chen, Zongxuan 21 Biswas, Tanmay 21 Sixsmith, David Jonathan 20 Fang, Mingliang 19 Fletcher, Alastair N. 19 Yang, Chung-Chun 18 Eremenko, Alexandre Émmanuilovich 18 Rempe-Gillen, Lasse 18 Rippon, Philip Jonathan 17 Stallard, Gwyneth Mary 17 Yuan, Wenjun 16 Fagella, Núria 16 Wang, Yuefei 15 Nicks, Daniel A. 15 Yang, Lianzhong 14 Zheng, Jianhua 13 Pang, Xuecheng 12 Kotus, Janina 12 Urbański, Mariusz 12 Zalcman, Lawrence Allen 11 Qi, Jianming 10 Chang, Jianming 10 Evdoridou, Vasiliki 10 Liu, Kai 10 Wang, Jun 10 Xu, Junfeng 10 Yi, Hongxun 9 Hawkins, Jane M. 9 Hu, Peichu 9 Jarque, Xavier 9 Kumar Datta, Sanjib 9 Li, Sheng 9 Lu, Feng 9 Nayak, Tarakanta 9 Xu, Hongyan 9 Zhang, Guowei 8 Benini, Anna Miriam 8 Liao, Liangwen 8 Lu, Weiran 8 Mayer, Volker 8 Nevo, Shahar 8 Shon, Kwangho 8 Xu, Yan 8 Zheng, Xiumin 7 Barański, Krzysztof 7 Biswas, Chinmay 7 Cao, Tingbin 7 Chen, Baoqin 7 Heittokangas, Janne M. 7 Huang, Zhibo 7 Karpińska, Bogusława 7 Koss, Lorelei 7 Zhang, Xiaobin 6 Ding, Jie 6 Huang, Zhigang 6 Ishizaki, Katsuya 6 Lan, Shuangting 6 Lin, Jianming 6 Liu, Xinling 6 Liu, Yong 6 Qi, Xiaoguang 6 Sienra, Guillermo J. F. 6 Wang, Xiaoling 6 Zhang, Ranran 5 Banerjee, Dibyendu 5 Bishop, Christopher James 5 Charak, Kuldeep Singh 5 Chen, Chuangxin 5 Chiang, Yik-Man 5 Deng, Bingmao 5 Domínguez, Patricia 5 Drasin, David 5 Korhonen, Risto 5 Li, Xiaomin 5 Liu, Dan 5 Majumder, Sujoy 5 Martí-Pete, David 5 Prasad, M. Guru Prem 5 Tohge, Kazuya 5 Tomar, Garima 5 Wu, Linlin 5 Yang, Pai 5 Yao, Xiao 4 Annaby, Mahmoud H. 4 Cao, Chunlei 4 Chai, Fujie 4 Chakra, Tarun Kumar 4 Chen, Wei 4 Feng, Shaoji 4 Fenton, Peter C. 4 Galązka, Piotr 4 Gao, Zongsheng 4 Grahl, Jürgen 4 Hua, Xinhou 4 Kumar, Sanjay 4 Laine, Ilpo 4 Lin, Weichuan 4 Lingham, Eleanor F. ...and 495 more Authors all top 5 Cited in 189 Serials 63 Journal of Mathematical Analysis and Applications 54 Computational Methods and Function Theory 41 Proceedings of the American Mathematical Society 37 Advances in Difference Equations 34 Journal d’Analyse Mathématique 25 Ergodic Theory and Dynamical Systems 21 Transactions of the American Mathematical Society 20 Mathematical Proceedings of the Cambridge Philosophical Society 20 Abstract and Applied Analysis 20 Complex Variables and Elliptic Equations 17 Journal of Difference Equations and Applications 17 Conformal Geometry and Dynamics 16 Mathematische Zeitschrift 14 Acta Mathematica Sinica. 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Third Series 2 The Ramanujan Journal ...and 89 more Serials all top 5 Cited in 40 Fields 756 Functions of a complex variable (30-XX) 326 Dynamical systems and ergodic theory (37-XX) 117 Difference and functional equations (39-XX) 74 Ordinary differential equations (34-XX) 28 Several complex variables and analytic spaces (32-XX) 17 Measure and integration (28-XX) 17 Special functions (33-XX) 16 Number theory (11-XX) 11 Potential theory (31-XX) 9 Numerical analysis (65-XX) 8 Real functions (26-XX) 8 General topology (54-XX) 6 Field theory and polynomials (12-XX) 6 Differential geometry (53-XX) 5 Partial differential equations (35-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-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