×
Compute Distance To:
Author ID: bergweiler.walter Recent zbMATH articles by "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: 134 Publications since 1984, including 3 Books
3 Contributions as Editor
Reviewing Activity: 281 Reviews
Co-Authors: 50 Co-Authors with 74 Joint Publications
1,306 Co-Co-Authors
all top 5

Serials

11 Proceedings of the American Mathematical Society
10 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 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

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 1,555 times in 837 Documents Cited by Year
Iteration of meromorphic functions. Zbl 0791.30018
Bergweiler, Walter
280
1993
On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016
Bergweiler, Walter; Eremenko, Alexandre
178
1995
Zeros of differences of meromorphic functions. Zbl 1114.30028
Bergweiler, Walter; Langley, J. K.
114
2007
On semiconjugation of entire functions. Zbl 0939.30019
Bergweiler, Walter; Hinkkanen, A.
61
1999
Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
46
2008
Bloch’s principle. Zbl 1101.30034
Bergweiler, Walter
32
2006
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
29
1998
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
23
2002
Invariant domains and singularities. Zbl 0836.30016
Bergweiler, Walter
23
1995
On the limit functions of iterates in wandering domains. Zbl 0793.30022
Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
21
1993
On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341
Bergweiler, Walter; Pang, Xuecheng
21
2003
On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021
Bergweiler, W.
20
1995
Iteration of quasiregular mappings. Zbl 1243.30057
Bergweiler, Walter
19
2010
A new proof of the Ahlfors five islands theorem. Zbl 0974.30010
Bergweiler, Walter
19
1998
The escaping set of a quasiregular mapping. Zbl 1161.30008
Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis
19
2009
On the growth rate of composite meromorphic functions. Zbl 0648.30022
Bergweiler, Walter
18
1990
Multiply connected wandering domains of entire functions. Zbl 1325.37026
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
18
2013
Periodic points of entire functions: proof of a conjecture of Baker. Zbl 0748.30020
Bergweiler, Walter
17
1991
On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014
Bergweiler, Walter
17
1995
Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037
Bergweiler, Walter
16
2013
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.
16
2009
On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515
Bergweiler, Walter
15
1998
On the dynamics of composite entire functions. Zbl 0906.30025
Bergweiler, Walter; Wang, Yuefei
15
1998
Normality and exceptional values of derivatives. Zbl 0961.30025
Bergweiler, Walter
15
2001
Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011
Bergweiler, Walter
15
1993
On the Nevanlinna characteristic of a composite function. Zbl 0628.30035
Bergweiler, Walter
14
1988
Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056
Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse
14
2015
Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021
Bergweiler, Walter; Terglane, Norbert
14
1996
The fast escaping set for quasiregular mappings. Zbl 1347.37085
Bergweiler, Walter; Drasin, David; Fletcher, Alastair
13
2014
Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098
Bergweiler, Walter; Nicks, Daniel A.
13
2014
Zeros of solutions of a functional equation. Zbl 1087.39022
Bergweiler, Walter; Hayman, Walter K.
13
2003
Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020
Bergweiler, Walter; Eremenko, Alexandre; Langley, James K.
13
2003
Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013
Bergweiler, Walter; Eremenko, Alexandre
13
2006
Karpińska’s paradox in dimension 3. Zbl 1218.37057
Bergweiler, Walter
12
2010
Proof of a conjecture of Gross concerning fix-points. Zbl 0681.30014
Bergweiler, Walter
12
1990
Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009
Bergweiler, Walter; Eremenko, Alexandre
12
2008
The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012
Bergweiler, Walter
11
2000
Nonvanishing derivatives and normal families. Zbl 1071.30031
Bergweiler, Walter; Langley, J. K.
11
2003
On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027
Bergweiler, Walter; Karpińska, Bogusława
11
2010
Periodic points and normal families. Zbl 0973.30023
Bargmann, Detlef; Bergweiler, Walter
9
2001
Entire functions with Julia sets of positive measure. Zbl 1243.37038
Aspenberg, Magnus; Bergweiler, Walter
9
2012
On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018
Bergweiler, Walter; Kotus, Janina
9
2012
Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015
Bergweiler, Walter; Eremenko, Alexandre
9
2011
Fixed points of composite entire and quasiregular maps. Zbl 1215.30007
Bergweiler, Walter
9
2006
Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001
Bergweiler, Walter; Eremenko, Alexandre
8
2016
Order and lower order of composite meromorphic functions. Zbl 0669.30014
Bergweiler, Walter
8
1989
On the set where the iterates of an entire function are bounded. Zbl 1408.37076
Bergweiler, Walter
8
2012
Canonical products of infinite order. Zbl 0764.30024
Bergweiler, Walter
7
1992
On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002
Bergweiler, Walter; Eremenko, Alexandre
7
2010
Multiplicities in Hayman’s alternative. Zbl 1074.30028
Bergweiler, Walter; Langley, J. K.
7
2005
The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061
Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A.
7
2014
On the Bank-Laine conjecture. Zbl 1381.34111
Bergweiler, Walter; Eremenko, Alexandre
7
2017
Quasinormal families and periodic points. Zbl 1089.30028
Bergweiler, Walter
6
2005
Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039
Bergweiler, Walter; Eremenko, Alexandre
6
2000
Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045
Becker, Paul-Georg; Bergweiler, Walter
6
1993
On the value distribution of composite meromorphic functions. Zbl 0793.30023
Bergweiler, Walter; Yang, Chung-Chun
6
1993
Baker domains for Newton’s method. Zbl 1122.30019
Bergweiler, Walter; Drasin, David; Langley, James
6
2007
Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044
Bergweiler, Walter; Peter, Jörn
6
2013
Some examples of Baker domains. Zbl 1247.37038
Bergweiler, Walter; Zheng, Jian-Hua
6
2012
Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004
Bergweiler, Walter; Eremenko, Alexandre
6
2009
Quasiconformal surgery and linear differential equations. Zbl 1419.34235
Bergweiler, Walter; Eremenko, Alexandre
6
2019
Periodische Punkte bei der Iteration ganzer Funktionen. Zbl 0728.30021
Bergweiler, Walter
5
1991
Singularities in Baker domains. Zbl 1034.30018
Bergweiler, Walter
5
2001
Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134
Bergweiler, Walter; Chyzhykov, Igor
5
2016
On the product of a meromorphic function and its derivative. Zbl 0928.30016
Bergweiler, Walter
5
1997
On the fix-points of composite functions. Zbl 0649.30018
Bergweiler, Walter
5
1990
An entire function with simply and multiply connected wandering domains. Zbl 1257.37029
Bergweiler, Walter
5
2011
Rescaling principles in function theory. Zbl 0993.30018
Bergweiler, Walter
4
2001
On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017
Bergweiler, Walter
4
1992
Newton’s method and Baker domains. Zbl 1201.30025
Bergweiler, Walter
4
2010
Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064
Bergweiler, Walter
4
2018
Entire functions with two radially distributed values. Zbl 1405.30027
Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo
4
2018
Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012
Bergweiler, Walter; Eremenko, Alexandre
4
2015
An introduction to complex dynamics. Zbl 0893.58034
Bergweiler, Walter
4
1995
Omitted values in domains of normality. Zbl 0826.30016
Bergweiler, Walter; Rohde, Steffen
4
1995
On meromorphic functions that share three values and on the exceptional set in Wiman-Valiron theory. Zbl 0708.30030
Bergweiler, Walter
4
1990
A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024
Bergweiler, Walter
4
1994
Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025
Bergweiler, Walter
4
2004
Maximum modulus, characteristic, and area on the sphere. Zbl 0703.30025
Bergweiler, Walter
4
1990
On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017
Bergweiler, Walter; Terglane, Norbert
3
1998
On the number of critical points in parabolic basins. Zbl 1008.37025
Bergweiler, Walter
3
2002
Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050
3
2009
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
3
2015
On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013
Bergweiler, Walter
3
1995
Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019
Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz
3
1984
An example concerning factorization of rational functions. Zbl 0780.30022
Bergweiler, Walter
3
1993
Newton’s method for meromorphic functions. Zbl 0810.30017
Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
3
1994
On the growth of meromorphic functions of infinite order. Zbl 0828.30013
Bergweiler, Walter; Bock, Heinrich
3
1994
An inequality for real functions with applications to function theory. Zbl 0638.30028
Bergweiler, Walter
3
1989
Gol’dberg’s constants. Zbl 1304.30034
Bergweiler, Walter; Eremenko, Alexandre
3
2013
The size of Wilman-Valiron discs. Zbl 1226.30029
Bergweiler, W.
3
2011
On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077
Bergweiler, Walter
3
2012
On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031
Bergweiler, Walter; Zheng, Jian-Hua
3
2011
A property of the derivative of an entire function. Zbl 1291.30181
Bergweiler, Walter; Eremenko, Alexandre
3
2012
On the number of solutions of some transcendental equations. Zbl 1401.30016
Bergweiler, Walter; Eremenko, Alexandre
2
2018
A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049
Bergweiler, Walter
2
2002
Semihyperbolic entire functions. Zbl 1026.30025
Bergweiler, Walter; Morosawa, Shunsuke
2
2002
Normal families and fixed points of iterates. Zbl 1213.30064
Bergweiler, Walter
2
2010
Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015
Becker, Paul-Georg; Bergweiler, Walter
2
1995
Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005
Bergweiler, Walter
2
1995
Radially distributed values and normal families. II. Zbl 1462.30014
Bergweiler, Walter; Eremenko, Alexandre
1
2020
Quasiconformal surgery and linear differential equations. Zbl 1419.34235
Bergweiler, Walter; Eremenko, Alexandre
6
2019
Radially distributed values and normal families. Zbl 1480.30024
Bergweiler, Walter; Eremenko, Alexandre
2
2019
Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064
Bergweiler, Walter
4
2018
Entire functions with two radially distributed values. Zbl 1405.30027
Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo
4
2018
On the number of solutions of some transcendental equations. Zbl 1401.30016
Bergweiler, Walter; Eremenko, Alexandre
2
2018
On the Bank-Laine conjecture. Zbl 1381.34111
Bergweiler, Walter; Eremenko, Alexandre
7
2017
Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001
Bergweiler, Walter; Eremenko, Alexandre
8
2016
Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134
Bergweiler, Walter; Chyzhykov, Igor
5
2016
Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056
Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse
14
2015
Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012
Bergweiler, Walter; Eremenko, Alexandre
4
2015
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
3
2015
Hausdorff measure of hairs without endpoints in the exponential family. Zbl 1343.37024
Bergweiler, Walter; Wang, Jun
1
2015
An entire function with no fixed points and no invariant Baker domains. Zbl 1401.37053
Bergweiler, Walter
1
2015
The fast escaping set for quasiregular mappings. Zbl 1347.37085
Bergweiler, Walter; Drasin, David; Fletcher, Alastair
13
2014
Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098
Bergweiler, Walter; Nicks, Daniel A.
13
2014
The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061
Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A.
7
2014
Multiply connected wandering domains of entire functions. Zbl 1325.37026
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
18
2013
Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037
Bergweiler, Walter
16
2013
Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044
Bergweiler, Walter; Peter, Jörn
6
2013
Gol’dberg’s constants. Zbl 1304.30034
Bergweiler, Walter; Eremenko, Alexandre
3
2013
Entire functions with Julia sets of positive measure. Zbl 1243.37038
Aspenberg, Magnus; Bergweiler, Walter
9
2012
On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018
Bergweiler, Walter; Kotus, Janina
9
2012
On the set where the iterates of an entire function are bounded. Zbl 1408.37076
Bergweiler, Walter
8
2012
Some examples of Baker domains. Zbl 1247.37038
Bergweiler, Walter; Zheng, Jian-Hua
6
2012
On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077
Bergweiler, Walter
3
2012
A property of the derivative of an entire function. Zbl 1291.30181
Bergweiler, Walter; Eremenko, Alexandre
3
2012
Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015
Bergweiler, Walter; Eremenko, Alexandre
9
2011
An entire function with simply and multiply connected wandering domains. Zbl 1257.37029
Bergweiler, Walter
5
2011
The size of Wilman-Valiron discs. Zbl 1226.30029
Bergweiler, W.
3
2011
On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031
Bergweiler, Walter; Zheng, Jian-Hua
3
2011
Iteration of quasiregular mappings. Zbl 1243.30057
Bergweiler, Walter
19
2010
Karpińska’s paradox in dimension 3. Zbl 1218.37057
Bergweiler, Walter
12
2010
On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027
Bergweiler, Walter; Karpińska, Bogusława
11
2010
On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002
Bergweiler, Walter; Eremenko, Alexandre
7
2010
Newton’s method and Baker domains. Zbl 1201.30025
Bergweiler, Walter
4
2010
Normal families and fixed points of iterates. Zbl 1213.30064
Bergweiler, Walter
2
2010
The escaping set of a quasiregular mapping. Zbl 1161.30008
Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis
19
2009
The growth rate of an entire function and the Hausdorff dimension of its Julia set. Zbl 1206.37021
Bergweiler, Walter; Karpińska, Bogusława; Stallard, Gwyneth M.
16
2009
Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004
Bergweiler, Walter; Eremenko, Alexandre
6
2009
Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050
3
2009
Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
46
2008
Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009
Bergweiler, Walter; Eremenko, Alexandre
12
2008
Meromorphic functions with two completely invariant domains. Zbl 1168.30009
Bergweiler, Walter; Eremenko, Alexandre
2
2008
Permutable entire functions satisfying algebraic differential equations. Zbl 1168.30008
Bergweiler, Walter
1
2008
Zeros of differences of meromorphic functions. Zbl 1114.30028
Bergweiler, Walter; Langley, J. K.
114
2007
Baker domains for Newton’s method. Zbl 1122.30019
Bergweiler, Walter; Drasin, David; Langley, James
6
2007
Bloch’s principle. Zbl 1101.30034
Bergweiler, Walter
32
2006
Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013
Bergweiler, Walter; Eremenko, Alexandre
13
2006
Fixed points of composite entire and quasiregular maps. Zbl 1215.30007
Bergweiler, Walter
9
2006
Multiplicities in Hayman’s alternative. Zbl 1074.30028
Bergweiler, Walter; Langley, J. K.
7
2005
Quasinormal families and periodic points. Zbl 1089.30028
Bergweiler, Walter
6
2005
Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020
Bergweiler, Walter; Eremenko, Alex; Langley, Jim K.
2
2005
Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025
Bergweiler, Walter
4
2004
On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341
Bergweiler, Walter; Pang, Xuecheng
21
2003
Zeros of solutions of a functional equation. Zbl 1087.39022
Bergweiler, Walter; Hayman, Walter K.
13
2003
Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020
Bergweiler, Walter; Eremenko, Alexandre; Langley, James K.
13
2003
Nonvanishing derivatives and normal families. Zbl 1071.30031
Bergweiler, Walter; Langley, J. K.
11
2003
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
23
2002
On the number of critical points in parabolic basins. Zbl 1008.37025
Bergweiler, Walter
3
2002
A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049
Bergweiler, Walter
2
2002
Semihyperbolic entire functions. Zbl 1026.30025
Bergweiler, Walter; Morosawa, Shunsuke
2
2002
Normality and exceptional values of derivatives. Zbl 0961.30025
Bergweiler, Walter
15
2001
Periodic points and normal families. Zbl 0973.30023
Bargmann, Detlef; Bergweiler, Walter
9
2001
Singularities in Baker domains. Zbl 1034.30018
Bergweiler, Walter
5
2001
Rescaling principles in function theory. Zbl 0993.30018
Bergweiler, Walter
4
2001
Correction to the paper “Entire functions of slow growth whose Julia set coincides with the plane”. Zbl 1096.37502
Bergweiler, Walter; Eremenko, Alexandre
2
2001
The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012
Bergweiler, Walter
11
2000
Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039
Bergweiler, Walter; Eremenko, Alexandre
6
2000
On semiconjugation of entire functions. Zbl 0939.30019
Bergweiler, Walter; Hinkkanen, A.
61
1999
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
29
1998
A new proof of the Ahlfors five islands theorem. Zbl 0974.30010
Bergweiler, Walter
19
1998
On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515
Bergweiler, Walter
15
1998
On the dynamics of composite entire functions. Zbl 0906.30025
Bergweiler, Walter; Wang, Yuefei
15
1998
On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017
Bergweiler, Walter; Terglane, Norbert
3
1998
On the product of a meromorphic function and its derivative. Zbl 0928.30016
Bergweiler, Walter
5
1997
Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021
Bergweiler, Walter; Terglane, Norbert
14
1996
A quantitative version of Picard’s theorem. Zbl 0861.30029
Bergweiler, Walter
1
1996
On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016
Bergweiler, Walter; Eremenko, Alexandre
178
1995
Invariant domains and singularities. Zbl 0836.30016
Bergweiler, Walter
23
1995
On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021
Bergweiler, W.
20
1995
On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014
Bergweiler, Walter
17
1995
An introduction to complex dynamics. Zbl 0893.58034
Bergweiler, Walter
4
1995
Omitted values in domains of normality. Zbl 0826.30016
Bergweiler, Walter; Rohde, Steffen
4
1995
On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013
Bergweiler, Walter
3
1995
Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015
Becker, Paul-Georg; Bergweiler, Walter
2
1995
Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005
Bergweiler, Walter
2
1995
Proof of a conjecture of Baker concerning the distribution of fixpoints. Zbl 0822.30024
Bergweiler, Walter; Clunie, Jim; Langley, Jim
1
1995
A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024
Bergweiler, Walter
4
1994
Newton’s method for meromorphic functions. Zbl 0810.30017
Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
3
1994
On the growth of meromorphic functions of infinite order. Zbl 0828.30013
Bergweiler, Walter; Bock, Heinrich
3
1994
Open problems in complex analysis. Zbl 0822.30001
Bergweiler, W.; Laine, I.
2
1994
Iteration of meromorphic functions. Zbl 0791.30018
Bergweiler, Walter
280
1993
On the limit functions of iterates in wandering domains. Zbl 0793.30022
Bergweiler, 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 0781.58011
Bergweiler, Walter
15
1993
Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045
Becker, Paul-Georg; Bergweiler, Walter
6
1993
On the value distribution of composite meromorphic functions. Zbl 0793.30023
Bergweiler, Walter; Yang, Chung-Chun
6
1993
An example concerning factorization of rational functions. Zbl 0780.30022
Bergweiler, Walter
3
1993
Canonical products of infinite order. Zbl 0764.30024
Bergweiler, Walter
7
1992
On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017
Bergweiler, Walter
4
1992
...and 13 more Documents
all top 5

Cited by 568 Authors

64 Bergweiler, Walter
35 Langley, James K.
30 Chen, Zongxuan
20 Sixsmith, David Jonathan
19 Biswas, Tanmay
19 Fang, Mingliang
19 Fletcher, Alastair N.
19 Yang, Chung-Chun
18 Eremenko, Alexandre Émmanuilovich
18 Rempe-Gillen, Lasse
17 Rippon, Philip Jonathan
17 Yuan, Wenjun
16 Stallard, Gwyneth Mary
15 Fagella, Núria
15 Nicks, Daniel A.
14 Wang, Yuefei
14 Yang, Lianzhong
14 Zheng, Jianhua
13 Pang, Xuecheng
12 Urbański, Mariusz
12 Zalcman, Lawrence Allen
11 Kotus, Janina
11 Qi, Jianming
10 Chang, Jianming
10 Liu, Kai
10 Xu, Junfeng
10 Yi, Hongxun
9 Jarque, Xavier
9 Li, Sheng
9 Nayak, Tarakanta
9 Xu, Hongyan
8 Hawkins, Jane M.
8 Hu, Peichu
8 Kumar Datta, Sanjib
8 Liao, Liangwen
8 Lu, Feng
8 Lu, Weiran
8 Mayer, Volker
8 Nevo, Shahar
8 Shon, Kwangho
8 Xu, Yan
8 Zhang, Guowei
8 Zheng, Xiumin
7 Barański, Krzysztof
7 Benini, Anna Miriam
7 Cao, Tingbin
7 Chen, Baoqin
7 Evdoridou, Vasiliki
7 Heittokangas, Janne M.
7 Huang, Zhibo
7 Karpińska, Bogusława
7 Wang, Jun
7 Zhang, Xiaobin
6 Biswas, Chinmay
6 Ding, Jie
6 Huang, Zhigang
6 Ishizaki, Katsuya
6 Koss, Lorelei
6 Lin, Jianming
6 Liu, Xinling
6 Liu, Yong
6 Qi, Xiaoguang
6 Wang, Xiaoling
5 Bishop, Christopher James
5 Chiang, Yik-Man
5 Drasin, David
5 Korhonen, Risto
5 Lan, Shuangting
5 Li, Xiaomin
5 Liu, Dan
5 Martí-Pete, David
5 Prasad, M. Guru Prem
5 Tohge, Kazuya
5 Tomar, Garima
5 Yang, Pai
5 Zhang, Ranran
4 Annaby, Mahmoud H.
4 Cao, Chunlei
4 Chakra, Tarun Kumar
4 Chen, Chuangxin
4 Chen, Wei
4 Deng, Bingmao
4 Domínguez, Patricia
4 Feng, Shaoji
4 Fenton, Peter C.
4 Galązka, Piotr
4 Gao, Zongsheng
4 Grahl, Jürgen
4 Hua, Xinhou
4 Laine, Ilpo
4 Lin, Weichuan
4 Lingham, Eleanor F.
4 Majumder, Sujoy
4 Mihaljević, Helena
4 Müller, Jürgen
4 Osborne, John W.
4 Peter, Jörn
4 Rossi, John F.
4 Sienra, Guillermo J. F.
4 Singh, Anand Prakash
...and 468 more Authors
all top 5

Cited in 181 Serials

62 Journal of Mathematical Analysis and Applications
53 Computational Methods and Function Theory
40 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 Abstract and Applied Analysis
20 Complex Variables and Elliptic Equations
19 Mathematical Proceedings of the Cambridge Philosophical Society
17 Journal of Difference Equations and Applications
15 Mathematische Zeitschrift
15 Conformal Geometry and Dynamics
14 Acta Mathematica Sinica. English Series
13 Results in Mathematics
12 Science China. Mathematics
11 Journal of Inequalities and Applications
10 Bulletin of the Australian Mathematical Society
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Annales Academiae Scientiarum Fennicae. Mathematica
8 Indian Journal of Pure & Applied Mathematics
8 Israel Journal of Mathematics
8 Journal of the Australian Mathematical Society
7 Advances in 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 Archiv der Mathematik
6 Bulletin of the Korean Mathematical Society
6 Science in China. Series A
6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
6 Acta Mathematica Scientia. Series B. (English Edition)
5 Rocky Mountain Journal of Mathematics
5 Arkiv för Matematik
5 Mathematische Annalen
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
5 Analysis and Mathematical Physics
4 Analysis Mathematica
4 Computers & Mathematics with Applications
4 Ukrainian Mathematical Journal
4 Mathematische Nachrichten
4 Monatshefte für Mathematik
4 Nagoya Mathematical Journal
4 Constructive Approximation
4 Discrete and Continuous Dynamical Systems
4 Complex Analysis and Operator Theory
4 Korean Journal of Mathematics
4 Annales Fennici Mathematici
3 Acta Mathematica
3 Journal of the London Mathematical Society. Second Series
3 Kodai Mathematical Journal
3 Tohoku Mathematical Journal. Second Series
3 Topology and its Applications
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 Dynamical Systems
3 Tbilisi Mathematical Journal
3 Journal of Classical Analysis
3 Journal of Complex Analysis
3 Arnold Mathematical Journal
3 AIMS Mathematics
2 Communications in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
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 The Journal of the Indian Mathematical Society. New Series
2 Mathematica Slovaca
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 Sugaku Expositions
2 International Journal of Mathematics
2 IMRN. International Mathematics Research Notices
2 The Journal of Geometric Analysis
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 Acta Mathematica Sinica. New Series
2 Chinese Science Bulletin
2 Indagationes Mathematicae. New Series
2 New Zealand Journal of Mathematics
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)
...and 81 more Serials
all top 5

Cited in 40 Fields

722 Functions of a complex variable (30-XX)
309 Dynamical systems and ergodic theory (37-XX)
114 Difference and functional equations (39-XX)
69 Ordinary differential equations (34-XX)
27 Several complex variables and analytic spaces (32-XX)
18 Special functions (33-XX)
16 Number theory (11-XX)
15 Measure and integration (28-XX)
11 Potential theory (31-XX)
10 Numerical analysis (65-XX)
8 General topology (54-XX)
7 Real functions (26-XX)
7 Partial differential equations (35-XX)
6 Field theory and polynomials (12-XX)
6 Differential geometry (53-XX)
5 Functional analysis (46-XX)
5 Operator theory (47-XX)
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 Algebraic geometry (14-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