Edit Profile Bergweiler, Walter Compute Distance To: Compute Author ID: bergweiler.walter Published as: Bergweiler, W.; Bergweiler, Walter Homepage: http://www.math.uni-kiel.de/analysis/de/bergweiler External Links: MGP · dblp · GND Documents Indexed: 134 Publications since 1984, including 3 Books Reviewing Activity: 272 Reviews all top 5 Co-Authors 62 single-authored 22 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 Aschenbrenner, Matthias 1 Aspenberg, Magnus 1 Barnard, Roger W. 1 Bock, Heinrich 1 Chyzhykov, Igor Elbertovych 1 Clunie, James Gourlay 1 Fagella, Núria 1 Fuchs, Wolfgang H. J. 1 Haruta, Mako E. 1 Hayman, Walter Kurt 1 Jakimovski, Amnon 1 Kannan, Vaishnavi 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 11 Proceedings of the American Mathematical Society 9 Computational Methods and Function Theory 7 Journal d’Analyse Mathématique 5 Mathematical Proceedings of the Cambridge Philosophical Society 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 4 Mathematische Zeitschrift 3 Bulletin of the London Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 Analysis 2 Israel Journal of Mathematics 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 all top 5 Fields 127 Functions of a complex variable (30-XX) 63 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 8 Difference and functional equations (39-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-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 History and biography (01-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 Convex and discrete geometry (52-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 112 Publications have been cited 1,368 times in 741 Documents Cited by ▼ Year ▼ Iteration of meromorphic functions. Zbl 0791.30018Bergweiler, Walter 243 1993 On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016Bergweiler, Walter; Eremenko, Alexandre 168 1995 Zeros of differences of meromorphic functions. Zbl 1114.30028Bergweiler, Walter; Langley, J. K. 102 2007 On semiconjugation of entire functions. Zbl 0939.30019Bergweiler, Walter; Hinkkanen, A. 52 1999 Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 41 2008 Bloch’s principle. Zbl 1101.30034Bergweiler, Walter 29 2006 Meromorphic solutions of some functional equations. Zbl 0924.39017Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 26 1998 On the limit functions of iterates in wandering domains. Zbl 0793.30022Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 20 1993 On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341Bergweiler, Walter; Pang, Xuecheng 19 2003 Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 19 2002 A new proof of the Ahlfors five islands theorem. Zbl 0974.30010Bergweiler, Walter 19 1998 On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021Bergweiler, W. 19 1995 The escaping set of a quasiregular mapping. Zbl 1161.30008Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis 18 2009 Invariant domains and singularities. Zbl 0836.30016Bergweiler, Walter 18 1995 Iteration of quasiregular mappings. Zbl 1243.30057Bergweiler, Walter 17 2010 Periodic points of entire functions: Proof of a conjecture of Baker. Zbl 0748.30020Bergweiler, Walter 17 1991 Multiply connected wandering domains of entire functions. Zbl 1325.37026Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 15 2013 On the growth rate of composite meromorphic functions. Zbl 0648.30022Bergweiler, Walter 15 1990 Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037Bergweiler, Walter 14 2013 On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515Bergweiler, Walter 14 1998 On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014Bergweiler, Walter 14 1995 Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011Bergweiler, Walter 14 1993 The growth rate of an entire function and the Hausdorff dimension of its Julia set. Zbl 1206.37021Bergweiler, Walter; Karpińska, Bogusława; Stallard, Gwyneth M. 13 2009 Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013Bergweiler, Walter; Eremenko, Alexandre 13 2006 Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020Bergweiler, Walter; Eremenko, Alexandre; Langley, James K. 13 2003 Normality and exceptional values of derivatives. Zbl 0961.30025Bergweiler, Walter 13 2001 Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021Bergweiler, Walter; Terglane, Norbert 13 1996 On the dynamics of composite entire functions. Zbl 0906.30025Bergweiler, Walter; Wang, Yuefei 12 1998 Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098Bergweiler, Walter; Nicks, Daniel A. 11 2014 The fast escaping set for quasiregular mappings. Zbl 1347.37085Bergweiler, Walter; Drasin, David; Fletcher, Alastair 11 2014 Karpińska’s paradox in dimension 3. Zbl 1218.37057Bergweiler, Walter 11 2010 Proof of a conjecture of Gross concerning fix-points. Zbl 0681.30014Bergweiler, Walter 11 1990 Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse 10 2015 On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027Bergweiler, Walter; Karpińska, Bogusława 10 2010 Zeros of solutions of a functional equation. Zbl 1087.39022Bergweiler, Walter; Hayman, Walter K. 10 2003 Nonvanishing derivatives and normal families. Zbl 1071.30031Bergweiler, Walter; Langley, J. K. 10 2003 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012Bergweiler, Walter 10 2000 On the Nevanlinna characteristic of a composite function. Zbl 0628.30035Bergweiler, Walter 10 1988 Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015Bergweiler, Walter; Eremenko, Alexandre 9 2011 Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009Bergweiler, Walter; Eremenko, Alexandre 9 2008 Periodic points and normal families. Zbl 0973.30023Bargmann, Detlef; Bergweiler, Walter 9 2001 Fixed points of composite entire and quasiregular maps. Zbl 1215.30007Bergweiler, Walter 7 2006 Multiplicities in Hayman’s alternative. Zbl 1074.30028Bergweiler, Walter; Langley, J. K. 7 2005 Periodische Punkte bei der Iteration ganzer Funktionen. Zbl 0728.30021Bergweiler, Walter 7 1991 Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001Bergweiler, Walter; Eremenko, Alexandre 6 2016 Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044Bergweiler, Walter; Peter, Jörn 6 2013 On the set where the iterates of an entire function are bounded. Zbl 1408.37076Bergweiler, Walter 6 2012 Baker domains for Newton’s method. Zbl 1122.30019Bergweiler, Walter; Drasin, David; Langley, James 6 2007 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 Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045Becker, Paul-Georg; Bergweiler, Walter 6 1993 Canonical products of infinite order. Zbl 0764.30024Bergweiler, Walter 6 1992 Order and lower order of composite meromorphic functions. Zbl 0669.30014Bergweiler, Walter 6 1989 Quasiconformal surgery and linear differential equations. Zbl 1419.34235Bergweiler, Walter; Eremenko, Alexandre 5 2019 On the Bank-Laine conjecture. Zbl 1381.34111Bergweiler, Walter; Eremenko, Alexandre 5 2017 The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A. 5 2014 On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018Bergweiler, Walter; Kotus, Janina 5 2012 Entire functions with Julia sets of positive measure. Zbl 1243.37038Aspenberg, Magnus; Bergweiler, Walter 5 2012 An entire function with simply and multiply connected wandering domains. Zbl 1257.37029Bergweiler, Walter 5 2011 On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002Bergweiler, Walter; Eremenko, Alexandre 5 2010 Singularities in Baker domains. Zbl 1034.30018Bergweiler, Walter 5 2001 Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039Bergweiler, Walter; Eremenko, Alexandre 5 2000 On the product of a meromorphic function and its derivative. Zbl 0928.30016Bergweiler, Walter 5 1997 On the fix-points of composite functions. Zbl 0649.30018Bergweiler, Walter 5 1990 Some examples of Baker domains. Zbl 1247.37038Bergweiler, Walter; Zheng, Jian-Hua 4 2012 Newton’s method and Baker domains. Zbl 1201.30025Bergweiler, Walter 4 2010 Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004Bergweiler, Walter; Eremenko, Alexandre 4 2009 Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025Bergweiler, Walter 4 2004 Omitted values in domains of normality. Zbl 0826.30016Bergweiler, Walter; Rohde, Steffen 4 1995 A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024Bergweiler, Walter 4 1994 On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017Bergweiler, Walter 4 1992 On meromorphic functions that share three values and on the exceptional set in Wiman-Valiron theory. Zbl 0708.30030Bergweiler, Walter 4 1990 Maximum modulus, characteristic, and area on the sphere. Zbl 0703.30025Bergweiler, Walter 4 1990 Entire functions with two radially distributed values. Zbl 1405.30027Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo 3 2018 Julia’s equation and differential transcendence. Zbl 1345.30029Aschenbrenner, Matthias; Bergweiler, Walter 3 2015 Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012Bergweiler, Walter; Eremenko, Alexandre 3 2015 Gol’dberg’s constants. Zbl 1304.30034Bergweiler, Walter; Eremenko, Alexandre 3 2013 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 On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031Bergweiler, Walter; Zheng, Jian-Hua 3 2011 On the number of critical points in parabolic basins. Zbl 1008.37025Bergweiler, Walter 3 2002 Rescaling principles in function theory. Zbl 0993.30018Bergweiler, Walter 3 2001 An introduction to complex dynamics. Zbl 0893.58034Bergweiler, Walter 3 1995 Newton’s method for meromorphic functions. Zbl 0810.30017Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 3 1994 An example concerning factorization of rational functions. Zbl 0780.30022Bergweiler, Walter 3 1993 An inequality for real functions with applications to function theory. Zbl 0638.30028Bergweiler, Walter 3 1989 Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz 3 1984 Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134Bergweiler, Walter; Chyzhykov, Igor 2 2016 The size of Wilman-Valiron discs. Zbl 1226.30029Bergweiler, W. 2 2011 Normal families and fixed points of iterates. Zbl 1213.30064Bergweiler, Walter 2 2010 Meromorphic functions with two completely invariant domains. Zbl 1168.30009Bergweiler, Walter; Eremenko, Alexandre 2 2008 Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020Bergweiler, Walter; Eremenko, Alex; Langley, Jim K. 2 2005 Semihyperbolic entire functions. Zbl 1026.30025Bergweiler, Walter; Morosawa, Shunsuke 2 2002 A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049Bergweiler, Walter 2 2002 On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017Bergweiler, Walter; Terglane, Norbert 2 1998 Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005Bergweiler, Walter 2 1995 On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013Bergweiler, Walter 2 1995 Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015Becker, Paul-Georg; Bergweiler, Walter 2 1995 On the growth of meromorphic functions of infinite order. Zbl 0828.30013Bergweiler, Walter; Bock, Heinrich 2 1994 Open problems in complex analysis. Zbl 0822.30001Bergweiler, W.; Laine, I. 2 1994 Quasiconformal surgery and linear differential equations. Zbl 1419.34235Bergweiler, Walter; Eremenko, Alexandre 5 2019 Radially distributed values and normal families. Zbl 07154611Bergweiler, Walter; Eremenko, Alexandre 1 2019 Entire functions with two radially distributed values. Zbl 1405.30027Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo 3 2018 On the number of solutions of some transcendental equations. Zbl 1401.30016Bergweiler, Walter; Eremenko, Alexandre 1 2018 Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 06921761Bergweiler, Walter 1 2018 On the Bank-Laine conjecture. Zbl 1381.34111Bergweiler, Walter; Eremenko, Alexandre 5 2017 Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001Bergweiler, Walter; Eremenko, Alexandre 6 2016 Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134Bergweiler, Walter; Chyzhykov, Igor 2 2016 Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse 10 2015 Julia’s equation and differential transcendence. Zbl 1345.30029Aschenbrenner, Matthias; Bergweiler, Walter 3 2015 Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012Bergweiler, Walter; Eremenko, Alexandre 3 2015 Hausdorff measure of hairs without endpoints in the exponential family. Zbl 1343.37024Bergweiler, Walter; Wang, Jun 1 2015 An entire function with no fixed points and no invariant Baker domains. Zbl 1401.37053Bergweiler, Walter 1 2015 Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098Bergweiler, Walter; Nicks, Daniel A. 11 2014 The fast escaping set for quasiregular mappings. Zbl 1347.37085Bergweiler, Walter; Drasin, David; Fletcher, Alastair 11 2014 The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A. 5 2014 Multiply connected wandering domains of entire functions. Zbl 1325.37026Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 15 2013 Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037Bergweiler, Walter 14 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 set where the iterates of an entire function are bounded. Zbl 1408.37076Bergweiler, Walter 6 2012 On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018Bergweiler, Walter; Kotus, Janina 5 2012 Entire functions with Julia sets of positive measure. Zbl 1243.37038Aspenberg, Magnus; Bergweiler, Walter 5 2012 Some examples of Baker domains. Zbl 1247.37038Bergweiler, Walter; Zheng, Jian-Hua 4 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 5 2011 On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031Bergweiler, Walter; Zheng, Jian-Hua 3 2011 The size of Wilman-Valiron discs. Zbl 1226.30029Bergweiler, W. 2 2011 Iteration of quasiregular mappings. Zbl 1243.30057Bergweiler, Walter 17 2010 Karpińska’s paradox in dimension 3. Zbl 1218.37057Bergweiler, Walter 11 2010 On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027Bergweiler, Walter; Karpińska, Bogusława 10 2010 On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002Bergweiler, Walter; Eremenko, Alexandre 5 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 18 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. 13 2009 Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004Bergweiler, Walter; Eremenko, Alexandre 4 2009 Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050Bergweiler, Walter (ed.); Stallard, Gwyneth M. (ed.) 1 2009 Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M. 41 2008 Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009Bergweiler, Walter; Eremenko, Alexandre 9 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. 102 2007 Baker domains for Newton’s method. Zbl 1122.30019Bergweiler, Walter; Drasin, David; Langley, James 6 2007 Bloch’s principle. Zbl 1101.30034Bergweiler, Walter 29 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 7 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 19 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. 10 2003 Nonvanishing derivatives and normal families. Zbl 1071.30031Bergweiler, Walter; Langley, J. K. 10 2003 Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 19 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 A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049Bergweiler, Walter 2 2002 Normality and exceptional values of derivatives. Zbl 0961.30025Bergweiler, Walter 13 2001 Periodic points and normal families. Zbl 0973.30023Bargmann, Detlef; Bergweiler, Walter 9 2001 Singularities in Baker domains. Zbl 1034.30018Bergweiler, Walter 5 2001 Rescaling principles in function theory. Zbl 0993.30018Bergweiler, Walter 3 2001 Correction to the paper “Entire functions of slow growth whose Julia set coincides with the plane”. Zbl 1096.37502Bergweiler, Walter; Eremenko, Alexandre 1 2001 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012Bergweiler, Walter 10 2000 Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039Bergweiler, Walter; Eremenko, Alexandre 5 2000 On semiconjugation of entire functions. Zbl 0939.30019Bergweiler, Walter; Hinkkanen, A. 52 1999 Meromorphic solutions of some functional equations. Zbl 0924.39017Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro 26 1998 A new proof of the Ahlfors five islands theorem. Zbl 0974.30010Bergweiler, Walter 19 1998 On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515Bergweiler, Walter 14 1998 On the dynamics of composite entire functions. Zbl 0906.30025Bergweiler, Walter; Wang, Yuefei 12 1998 On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017Bergweiler, Walter; Terglane, Norbert 2 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 13 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 168 1995 On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021Bergweiler, W. 19 1995 Invariant domains and singularities. Zbl 0836.30016Bergweiler, Walter 18 1995 On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014Bergweiler, Walter 14 1995 Omitted values in domains of normality. Zbl 0826.30016Bergweiler, Walter; Rohde, Steffen 4 1995 An introduction to complex dynamics. Zbl 0893.58034Bergweiler, Walter 3 1995 Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005Bergweiler, Walter 2 1995 On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013Bergweiler, Walter 2 1995 Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015Becker, Paul-Georg; Bergweiler, Walter 2 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 4 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 2 1994 Open problems in complex analysis. Zbl 0822.30001Bergweiler, W.; Laine, I. 2 1994 Iteration of meromorphic functions. Zbl 0791.30018Bergweiler, Walter 243 1993 On the limit functions of iterates in wandering domains. Zbl 0793.30022Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert 20 1993 Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011Bergweiler, Walter 14 1993 On the value distribution of composite meromorphic functions. Zbl 0793.30023Bergweiler, Walter; Yang, Chung-Chun 6 1993 Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045Becker, Paul-Georg; Bergweiler, Walter 6 1993 An example concerning factorization of rational functions. Zbl 0780.30022Bergweiler, Walter 3 1993 Canonical products of infinite order. Zbl 0764.30024Bergweiler, Walter 6 1992 On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017Bergweiler, Walter 4 1992 Periodic points of entire functions: Proof of a conjecture of Baker. Zbl 0748.30020Bergweiler, Walter 17 1991 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 540 Authors 61 Bergweiler, Walter 35 Langley, James K. 28 Chen, Zongxuan 19 Sixsmith, David Jonathan 18 Yang, Chung-Chun 17 Fang, Mingliang 17 Fletcher, Alastair N. 17 Rippon, Philip Jonathan 17 Yuan, Wenjun 16 Eremenko, Alexandre Émmanuilovich 16 Stallard, Gwyneth Mary 15 Nicks, Daniel A. 15 Rempe-Gillen, Lasse 15 Yang, Lianzhong 14 Biswas, Tanmay 14 Fagella, Núria 14 Wang, Yuefei 14 Zheng, Jianhua 13 Pang, Xuecheng 12 Zalcman, Lawrence Allen 11 Kotus, Janina 11 Liu, Kai 11 Qi, Jianming 10 Chang, Jianming 10 Yi, Hongxun 9 Jarque, Xavier 9 Li, Sheng 9 Xu, Hongyan 9 Xu, Junfeng 9 Zhang, Guowei 9 Zheng, Xiumin 8 Hawkins, Jane M. 8 Kumar Datta, Sanjib 8 Lu, Weiran 8 Nevo, Shahar 7 Barański, Krzysztof 7 Chen, Baoqin 7 Hu, Peichu 7 Karpińska, Bogusława 7 Liao, Liangwen 7 Lu, Feng 7 Nayak, Tarakanta 7 Shon, Kwangho 7 Urbański, Mariusz 7 Wang, Jun 7 Xu, Yan 7 Zhang, Xiaobin 6 Benini, Anna Miriam 6 Cao, Tingbin 6 Evdoridou, Vasiliki 6 Huang, Zhibo 6 Ishizaki, Katsuya 6 Koss, Lorelei 6 Lin, Jianming 6 Liu, Xinling 6 Liu, Yong 6 Qi, Xiaoguang 6 Wang, Xiaoling 6 Yang, Pai 5 Bishop, Christopher James 5 Ding, Jie 5 Drasin, David 5 Korhonen, Risto 5 Li, Xiaomin 5 Mayer, Volker 5 Sienra, Guillermo J. F. 5 Singh, Anand Prakash 5 Tohge, Kazuya 4 Annaby, Mahmoud H. 4 Chakra, Tarun Kumar 4 Chiang, Yik-Man 4 Deng, Bingmao 4 Feng, Shaoji 4 Fenton, Peter C. 4 Galązka, Piotr 4 Grahl, Jürgen 4 Hua, Xinhou 4 Huang, Zhigang 4 Laine, Ilpo 4 Lan, Shuangting 4 Lin, Weichuan 4 Lingham, Eleanor F. 4 Liu, Dan 4 Mansour, Zeinab Si 4 Martí-Pete, David 4 Mihaljević, Helena 4 Müller, Jürgen 4 Osborne, John W. 4 Peter, Jörn 4 Prasad, M. Guru Prem 4 Rossi, John F. 4 Tu, Jin 4 van Strien, Sebastian J. 4 Xiao, Bing 4 Yao, Xiao 4 Ye, Zhuan 4 Zhan, Guoping 3 Bargmann, Detlef 3 Buck, Matthew 3 Cao, Chunlei ...and 440 more Authors all top 5 Cited in 160 Serials 66 Journal of Mathematical Analysis and Applications 48 Computational Methods and Function Theory 38 Proceedings of the American Mathematical Society 34 Advances in Difference Equations 33 Journal d’Analyse Mathématique 22 Ergodic Theory and Dynamical Systems 20 Transactions of the American Mathematical Society 20 Abstract and Applied Analysis 19 Complex Variables and Elliptic Equations 16 Mathematical Proceedings of the Cambridge Philosophical Society 15 Journal of Difference Equations and Applications 14 Conformal Geometry and Dynamics 12 Mathematische Zeitschrift 12 Results in Mathematics 12 Acta Mathematica Sinica. English Series 11 Science China. 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