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## Bergweiler, Walter

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 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
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#### 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
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#### 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
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#### 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)

#### Citations contained in zbMATH

112 Publications have been cited 1,368 times in 741 Documents Cited by Year
Iteration of meromorphic functions. Zbl 0791.30018
Bergweiler, Walter
1993
On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016
Bergweiler, Walter; Eremenko, Alexandre
1995
Zeros of differences of meromorphic functions. Zbl 1114.30028
Bergweiler, Walter; Langley, J. K.
2007
On semiconjugation of entire functions. Zbl 0939.30019
Bergweiler, Walter; Hinkkanen, A.
1999
Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
2008
Bloch’s principle. Zbl 1101.30034
Bergweiler, Walter
2006
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
1998
On the limit functions of iterates in wandering domains. Zbl 0793.30022
Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
1993
On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341
Bergweiler, Walter; Pang, Xuecheng
2003
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
2002
A new proof of the Ahlfors five islands theorem. Zbl 0974.30010
Bergweiler, Walter
1998
On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021
Bergweiler, W.
1995
The escaping set of a quasiregular mapping. Zbl 1161.30008
Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis
2009
Invariant domains and singularities. Zbl 0836.30016
Bergweiler, Walter
1995
Iteration of quasiregular mappings. Zbl 1243.30057
Bergweiler, Walter
2010
Periodic points of entire functions: Proof of a conjecture of Baker. Zbl 0748.30020
Bergweiler, Walter
1991
Multiply connected wandering domains of entire functions. Zbl 1325.37026
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
2013
On the growth rate of composite meromorphic functions. Zbl 0648.30022
Bergweiler, Walter
1990
Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037
Bergweiler, Walter
2013
On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515
Bergweiler, Walter
1998
On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014
Bergweiler, Walter
1995
Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011
Bergweiler, Walter
1993
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.
2009
Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013
Bergweiler, Walter; Eremenko, Alexandre
2006
Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020
Bergweiler, Walter; Eremenko, Alexandre; Langley, James K.
2003
Normality and exceptional values of derivatives. Zbl 0961.30025
Bergweiler, Walter
2001
Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021
Bergweiler, Walter; Terglane, Norbert
1996
On the dynamics of composite entire functions. Zbl 0906.30025
Bergweiler, Walter; Wang, Yuefei
1998
Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098
Bergweiler, Walter; Nicks, Daniel A.
2014
The fast escaping set for quasiregular mappings. Zbl 1347.37085
Bergweiler, Walter; Drasin, David; Fletcher, Alastair
2014
Karpińska’s paradox in dimension 3. Zbl 1218.37057
Bergweiler, Walter
2010
Proof of a conjecture of Gross concerning fix-points. Zbl 0681.30014
Bergweiler, Walter
1990
Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056
Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse
2015
On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027
Bergweiler, Walter; Karpińska, Bogusława
2010
Zeros of solutions of a functional equation. Zbl 1087.39022
Bergweiler, Walter; Hayman, Walter K.
2003
Nonvanishing derivatives and normal families. Zbl 1071.30031
Bergweiler, Walter; Langley, J. K.
2003
The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012
Bergweiler, Walter
2000
On the Nevanlinna characteristic of a composite function. Zbl 0628.30035
Bergweiler, Walter
1988
Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015
Bergweiler, Walter; Eremenko, Alexandre
2011
Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009
Bergweiler, Walter; Eremenko, Alexandre
2008
Periodic points and normal families. Zbl 0973.30023
Bargmann, Detlef; Bergweiler, Walter
2001
Fixed points of composite entire and quasiregular maps. Zbl 1215.30007
Bergweiler, Walter
2006
Multiplicities in Hayman’s alternative. Zbl 1074.30028
Bergweiler, Walter; Langley, J. K.
2005
Periodische Punkte bei der Iteration ganzer Funktionen. Zbl 0728.30021
Bergweiler, Walter
1991
Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001
Bergweiler, Walter; Eremenko, Alexandre
2016
Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044
Bergweiler, Walter; Peter, Jörn
2013
On the set where the iterates of an entire function are bounded. Zbl 1408.37076
Bergweiler, Walter
2012
Baker domains for Newton’s method. Zbl 1122.30019
Bergweiler, Walter; Drasin, David; Langley, James
2007
Quasinormal families and periodic points. Zbl 1089.30028
Bergweiler, Walter
2005
On the value distribution of composite meromorphic functions. Zbl 0793.30023
Bergweiler, Walter; Yang, Chung-Chun
1993
Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045
Becker, Paul-Georg; Bergweiler, Walter
1993
Canonical products of infinite order. Zbl 0764.30024
Bergweiler, Walter
1992
Order and lower order of composite meromorphic functions. Zbl 0669.30014
Bergweiler, Walter
1989
Quasiconformal surgery and linear differential equations. Zbl 1419.34235
Bergweiler, Walter; Eremenko, Alexandre
2019
On the Bank-Laine conjecture. Zbl 1381.34111
Bergweiler, Walter; Eremenko, Alexandre
2017
The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061
Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A.
2014
On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018
Bergweiler, Walter; Kotus, Janina
2012
Entire functions with Julia sets of positive measure. Zbl 1243.37038
Aspenberg, Magnus; Bergweiler, Walter
2012
An entire function with simply and multiply connected wandering domains. Zbl 1257.37029
Bergweiler, Walter
2011
On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002
Bergweiler, Walter; Eremenko, Alexandre
2010
Singularities in Baker domains. Zbl 1034.30018
Bergweiler, Walter
2001
Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039
Bergweiler, Walter; Eremenko, Alexandre
2000
On the product of a meromorphic function and its derivative. Zbl 0928.30016
Bergweiler, Walter
1997
On the fix-points of composite functions. Zbl 0649.30018
Bergweiler, Walter
1990
Some examples of Baker domains. Zbl 1247.37038
Bergweiler, Walter; Zheng, Jian-Hua
2012
Newton’s method and Baker domains. Zbl 1201.30025
Bergweiler, Walter
2010
Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004
Bergweiler, Walter; Eremenko, Alexandre
2009
Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025
Bergweiler, Walter
2004
Omitted values in domains of normality. Zbl 0826.30016
Bergweiler, Walter; Rohde, Steffen
1995
A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024
Bergweiler, Walter
1994
On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017
Bergweiler, Walter
1992
On meromorphic functions that share three values and on the exceptional set in Wiman-Valiron theory. Zbl 0708.30030
Bergweiler, Walter
1990
Maximum modulus, characteristic, and area on the sphere. Zbl 0703.30025
Bergweiler, Walter
1990
Entire functions with two radially distributed values. Zbl 1405.30027
Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo
2018
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
2015
Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012
Bergweiler, Walter; Eremenko, Alexandre
2015
Gol’dberg’s constants. Zbl 1304.30034
Bergweiler, Walter; Eremenko, Alexandre
2013
On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077
Bergweiler, Walter
2012
A property of the derivative of an entire function. Zbl 1291.30181
Bergweiler, Walter; Eremenko, Alexandre
2012
On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031
Bergweiler, Walter; Zheng, Jian-Hua
2011
On the number of critical points in parabolic basins. Zbl 1008.37025
Bergweiler, Walter
2002
Rescaling principles in function theory. Zbl 0993.30018
Bergweiler, Walter
2001
An introduction to complex dynamics. Zbl 0893.58034
Bergweiler, Walter
1995
Newton’s method for meromorphic functions. Zbl 0810.30017
Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
1994
An example concerning factorization of rational functions. Zbl 0780.30022
Bergweiler, Walter
1993
An inequality for real functions with applications to function theory. Zbl 0638.30028
Bergweiler, Walter
1989
Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019
Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz
1984
Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134
Bergweiler, Walter; Chyzhykov, Igor
2016
The size of Wilman-Valiron discs. Zbl 1226.30029
Bergweiler, W.
2011
Normal families and fixed points of iterates. Zbl 1213.30064
Bergweiler, Walter
2010
Meromorphic functions with two completely invariant domains. Zbl 1168.30009
Bergweiler, Walter; Eremenko, Alexandre
2008
Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020
Bergweiler, Walter; Eremenko, Alex; Langley, Jim K.
2005
Semihyperbolic entire functions. Zbl 1026.30025
Bergweiler, Walter; Morosawa, Shunsuke
2002
A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049
Bergweiler, Walter
2002
On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017
Bergweiler, Walter; Terglane, Norbert
1998
Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005
Bergweiler, Walter
1995
On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013
Bergweiler, Walter
1995
Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015
Becker, Paul-Georg; Bergweiler, Walter
1995
On the growth of meromorphic functions of infinite order. Zbl 0828.30013
Bergweiler, Walter; Bock, Heinrich
1994
Open problems in complex analysis. Zbl 0822.30001
Bergweiler, W.; Laine, I.
1994
Quasiconformal surgery and linear differential equations. Zbl 1419.34235
Bergweiler, Walter; Eremenko, Alexandre
2019
Radially distributed values and normal families. Zbl 07154611
Bergweiler, Walter; Eremenko, Alexandre
2019
Entire functions with two radially distributed values. Zbl 1405.30027
Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo
2018
On the number of solutions of some transcendental equations. Zbl 1401.30016
Bergweiler, Walter; Eremenko, Alexandre
2018
Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 06921761
Bergweiler, Walter
2018
On the Bank-Laine conjecture. Zbl 1381.34111
Bergweiler, Walter; Eremenko, Alexandre
2017
Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001
Bergweiler, Walter; Eremenko, Alexandre
2016
Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134
Bergweiler, Walter; Chyzhykov, Igor
2016
Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056
Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse
2015
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
2015
Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012
Bergweiler, Walter; Eremenko, Alexandre
2015
Hausdorff measure of hairs without endpoints in the exponential family. Zbl 1343.37024
Bergweiler, Walter; Wang, Jun
2015
An entire function with no fixed points and no invariant Baker domains. Zbl 1401.37053
Bergweiler, Walter
2015
Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098
Bergweiler, Walter; Nicks, Daniel A.
2014
The fast escaping set for quasiregular mappings. Zbl 1347.37085
Bergweiler, Walter; Drasin, David; Fletcher, Alastair
2014
The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061
Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A.
2014
Multiply connected wandering domains of entire functions. Zbl 1325.37026
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
2013
Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037
Bergweiler, Walter
2013
Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044
Bergweiler, Walter; Peter, Jörn
2013
Gol’dberg’s constants. Zbl 1304.30034
Bergweiler, Walter; Eremenko, Alexandre
2013
On the set where the iterates of an entire function are bounded. Zbl 1408.37076
Bergweiler, Walter
2012
On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018
Bergweiler, Walter; Kotus, Janina
2012
Entire functions with Julia sets of positive measure. Zbl 1243.37038
Aspenberg, Magnus; Bergweiler, Walter
2012
Some examples of Baker domains. Zbl 1247.37038
Bergweiler, Walter; Zheng, Jian-Hua
2012
On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077
Bergweiler, Walter
2012
A property of the derivative of an entire function. Zbl 1291.30181
Bergweiler, Walter; Eremenko, Alexandre
2012
Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015
Bergweiler, Walter; Eremenko, Alexandre
2011
An entire function with simply and multiply connected wandering domains. Zbl 1257.37029
Bergweiler, Walter
2011
On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031
Bergweiler, Walter; Zheng, Jian-Hua
2011
The size of Wilman-Valiron discs. Zbl 1226.30029
Bergweiler, W.
2011
Iteration of quasiregular mappings. Zbl 1243.30057
Bergweiler, Walter
2010
Karpińska’s paradox in dimension 3. Zbl 1218.37057
Bergweiler, Walter
2010
On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027
Bergweiler, Walter; Karpińska, Bogusława
2010
On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002
Bergweiler, Walter; Eremenko, Alexandre
2010
Newton’s method and Baker domains. Zbl 1201.30025
Bergweiler, Walter
2010
Normal families and fixed points of iterates. Zbl 1213.30064
Bergweiler, Walter
2010
The escaping set of a quasiregular mapping. Zbl 1161.30008
Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis
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.
2009
Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004
Bergweiler, Walter; Eremenko, Alexandre
2009
Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050
Bergweiler, Walter (ed.); Stallard, Gwyneth M. (ed.)
2009
Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
2008
Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009
Bergweiler, Walter; Eremenko, Alexandre
2008
Meromorphic functions with two completely invariant domains. Zbl 1168.30009
Bergweiler, Walter; Eremenko, Alexandre
2008
Permutable entire functions satisfying algebraic differential equations. Zbl 1168.30008
Bergweiler, Walter
2008
Zeros of differences of meromorphic functions. Zbl 1114.30028
Bergweiler, Walter; Langley, J. K.
2007
Baker domains for Newton’s method. Zbl 1122.30019
Bergweiler, Walter; Drasin, David; Langley, James
2007
Bloch’s principle. Zbl 1101.30034
Bergweiler, Walter
2006
Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013
Bergweiler, Walter; Eremenko, Alexandre
2006
Fixed points of composite entire and quasiregular maps. Zbl 1215.30007
Bergweiler, Walter
2006
Multiplicities in Hayman’s alternative. Zbl 1074.30028
Bergweiler, Walter; Langley, J. K.
2005
Quasinormal families and periodic points. Zbl 1089.30028
Bergweiler, Walter
2005
Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020
Bergweiler, Walter; Eremenko, Alex; Langley, Jim K.
2005
Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025
Bergweiler, Walter
2004
On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341
Bergweiler, Walter; Pang, Xuecheng
2003
Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020
Bergweiler, Walter; Eremenko, Alexandre; Langley, James K.
2003
Zeros of solutions of a functional equation. Zbl 1087.39022
Bergweiler, Walter; Hayman, Walter K.
2003
Nonvanishing derivatives and normal families. Zbl 1071.30031
Bergweiler, Walter; Langley, J. K.
2003
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
2002
On the number of critical points in parabolic basins. Zbl 1008.37025
Bergweiler, Walter
2002
Semihyperbolic entire functions. Zbl 1026.30025
Bergweiler, Walter; Morosawa, Shunsuke
2002
A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049
Bergweiler, Walter
2002
Normality and exceptional values of derivatives. Zbl 0961.30025
Bergweiler, Walter
2001
Periodic points and normal families. Zbl 0973.30023
Bargmann, Detlef; Bergweiler, Walter
2001
Singularities in Baker domains. Zbl 1034.30018
Bergweiler, Walter
2001
Rescaling principles in function theory. Zbl 0993.30018
Bergweiler, Walter
2001
Correction to the paper “Entire functions of slow growth whose Julia set coincides with the plane”. Zbl 1096.37502
Bergweiler, Walter; Eremenko, Alexandre
2001
The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012
Bergweiler, Walter
2000
Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039
Bergweiler, Walter; Eremenko, Alexandre
2000
On semiconjugation of entire functions. Zbl 0939.30019
Bergweiler, Walter; Hinkkanen, A.
1999
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
1998
A new proof of the Ahlfors five islands theorem. Zbl 0974.30010
Bergweiler, Walter
1998
On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515
Bergweiler, Walter
1998
On the dynamics of composite entire functions. Zbl 0906.30025
Bergweiler, Walter; Wang, Yuefei
1998
On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017
Bergweiler, Walter; Terglane, Norbert
1998
On the product of a meromorphic function and its derivative. Zbl 0928.30016
Bergweiler, Walter
1997
Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021
Bergweiler, Walter; Terglane, Norbert
1996
A quantitative version of Picard’s theorem. Zbl 0861.30029
Bergweiler, Walter
1996
On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016
Bergweiler, Walter; Eremenko, Alexandre
1995
On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021
Bergweiler, W.
1995
Invariant domains and singularities. Zbl 0836.30016
Bergweiler, Walter
1995
On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014
Bergweiler, Walter
1995
Omitted values in domains of normality. Zbl 0826.30016
Bergweiler, Walter; Rohde, Steffen
1995
An introduction to complex dynamics. Zbl 0893.58034
Bergweiler, Walter
1995
Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005
Bergweiler, Walter
1995
On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013
Bergweiler, Walter
1995
Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015
Becker, Paul-Georg; Bergweiler, Walter
1995
Proof of a conjecture of Baker concerning the distribution of fixpoints. Zbl 0822.30024
Bergweiler, Walter; Clunie, Jim; Langley, Jim
1995
A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024
Bergweiler, Walter
1994
Newton’s method for meromorphic functions. Zbl 0810.30017
Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
1994
On the growth of meromorphic functions of infinite order. Zbl 0828.30013
Bergweiler, Walter; Bock, Heinrich
1994
Open problems in complex analysis. Zbl 0822.30001
Bergweiler, W.; Laine, I.
1994
Iteration of meromorphic functions. Zbl 0791.30018
Bergweiler, Walter
1993
On the limit functions of iterates in wandering domains. Zbl 0793.30022
Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
1993
Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011
Bergweiler, Walter
1993
On the value distribution of composite meromorphic functions. Zbl 0793.30023
Bergweiler, Walter; Yang, Chung-Chun
1993
Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045
Becker, Paul-Georg; Bergweiler, Walter
1993
An example concerning factorization of rational functions. Zbl 0780.30022
Bergweiler, Walter
1993
Canonical products of infinite order. Zbl 0764.30024
Bergweiler, Walter
1992
On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017
Bergweiler, Walter
1992
Periodic points of entire functions: Proof of a conjecture of Baker. Zbl 0748.30020
Bergweiler, Walter
1991
...and 12 more Documents
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#### 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
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#### 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. Mathematics 10 Bulletin of the Australian Mathematical Society 10 Journal of Inequalities and Applications 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Annales Academiae Scientiarum Fennicae. Mathematica 8 Journal of the Australian Mathematical Society 7 Israel Journal of Mathematics 7 Illinois Journal of Mathematics 7 Proceedings of the Japan Academy. Series A 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Advances in Mathematics 6 Archiv der Mathematik 6 Science in China. Series A 5 Indian Journal of Pure & Applied Mathematics 5 Rocky Mountain Journal of Mathematics 5 Arkiv för Matematik 5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Aequationes Mathematicae 5 Experimental Mathematics 5 Applied Mathematics. Series B (English Edition) 5 Discrete Dynamics in Nature and Society 5 Frontiers of Mathematics in China 4 Computers & Mathematics with Applications 4 Mathematische Annalen 4 Mathematische Nachrichten 4 Monatshefte für Mathematik 4 Nagoya Mathematical Journal 4 Discrete and Continuous Dynamical Systems 4 Analysis and Mathematical Physics 3 Acta Mathematica 3 Journal of the London Mathematical Society. Second Series 3 Tohoku Mathematical Journal. Second Series 3 Topology and its Applications 3 Constructive Approximation 3 Revista Matemática Iberoamericana 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Matematychni Studiï 3 Complex Analysis and Operator Theory 3 Journal of Complex Analysis 3 Korean Journal of Mathematics 2 Analysis Mathematica 2 Communications in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Ukrainian Mathematical Journal 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Czechoslovak Mathematical Journal 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Kodai Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Bulletin of the Korean Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 Sugaku Expositions 2 International Journal of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Acta Mathematica Sinica. New Series 2 Chinese Science Bulletin 2 Indagationes Mathematicae. New Series 2 The Journal of Analysis 2 Journal of Mathematical Sciences (New York) 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 The Ramanujan Journal 2 Taiwanese Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Applied Mathematics 2 Tbilisi Mathematical Journal 2 Acta Universitatis Sapientiae. Mathematica 2 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal of Classical Analysis 2 Journal of Function Spaces 2 Open Mathematics 1 American Mathematical Monthly 1 Mathematical Notes 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 60 more Serials
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#### Cited in 38 Fields

 635 Functions of a complex variable (30-XX) 271 Dynamical systems and ergodic theory (37-XX) 96 Difference and functional equations (39-XX) 57 Ordinary differential equations (34-XX) 23 Several complex variables and analytic spaces (32-XX) 17 Special functions (33-XX) 14 Number theory (11-XX) 11 Measure and integration (28-XX) 9 Numerical analysis (65-XX) 8 Potential theory (31-XX) 7 Real functions (26-XX) 7 Partial differential equations (35-XX) 7 General topology (54-XX) 6 Field theory and polynomials (12-XX) 6 Differential geometry (53-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-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 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-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 Manifolds and cell complexes (57-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)