×
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
all top 5

Serials

12 Proceedings of the American Mathematical Society
11 Computational Methods and Function Theory
7 Journal d’Analyse Mathématique
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Mathematische Zeitschrift
5 Ergodic Theory and Dynamical Systems
5 Complex Variables. Theory and Application
5 Annales Academiae Scientiarum Fennicae. Mathematica
4 Journal of Mathematical Analysis and Applications
3 Israel Journal of Mathematics
3 Bulletin of the London Mathematical Society
3 Journal of the London Mathematical Society. Second Series
3 Analysis
2 Nonlinearity
2 Arkiv för Matematik
2 Archiv der Mathematik
2 Illinois Journal of Mathematics
2 Mathematische Annalen
2 Proceedings of the London Mathematical Society. Third Series
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Expositiones Mathematicae
2 The Journal of Analysis
2 The Bulletin of the Hong Kong Mathematical Society
2 Journal of the Australian Mathematical Society
2 Oberwolfach Reports
2 Analysis and Mathematical Physics
1 Acta Mathematica
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Annales de l’Institut Fourier
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Indiana University Mathematics Journal
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Revista Matemática Iberoamericana
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Methods and Applications of Analysis
1 Journal of Difference Equations and Applications
1 Conformal Geometry and Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Mathematical Physics, Analysis, Geometry
1 Complex Variables and Elliptic Equations
1 Pure and Applied Mathematics Quarterly
1 Textos de Matemática. Série B
1 Science China. Mathematics
1 Annals of the University of Bucharest. Mathematical Series
1 Arnold Mathematical Journal
1 Annales Fennici Mathematici

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,794 times in 963 Documents Cited by Year
Iteration of meromorphic functions. Zbl 0791.30018
Bergweiler, Walter
323
1993
On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016
Bergweiler, Walter; Eremenko, Alexandre
198
1995
Zeros of differences of meromorphic functions. Zbl 1114.30028
Bergweiler, Walter; Langley, J. K.
130
2007
On semiconjugation of entire functions. Zbl 0939.30019
Bergweiler, Walter; Hinkkanen, A.
68
1999
Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
49
2008
Bloch’s principle. Zbl 1101.30034
Bergweiler, Walter
37
2006
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
34
1998
Multiply connected wandering domains of entire functions. Zbl 1325.37026
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
30
2013
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
26
2002
Invariant domains and singularities. Zbl 0836.30016
Bergweiler, Walter
25
1995
On the limit functions of iterates in wandering domains. Zbl 0793.30022
Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
24
1993
On the growth rate of composite meromorphic functions. Zbl 0648.30022
Bergweiler, Walter
22
1990
A new proof of the Ahlfors five islands theorem. Zbl 0974.30010
Bergweiler, Walter
22
1998
On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341
Bergweiler, Walter; Pang, Xuecheng
22
2003
Iteration of quasiregular mappings. Zbl 1243.30057
Bergweiler, Walter
21
2010
On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021
Bergweiler, W.
21
1995
On the Nevanlinna characteristic of a composite function. Zbl 0628.30035
Bergweiler, Walter
20
1988
Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037
Bergweiler, Walter
19
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.
19
2009
The escaping set of a quasiregular mapping. Zbl 1161.30008
Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis
19
2009
On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014
Bergweiler, Walter
19
1995
Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056
Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse
19
2015
Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098
Bergweiler, Walter; Nicks, Daniel A.
17
2014
Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011
Bergweiler, Walter
17
1993
Periodic points of entire functions: proof of a conjecture of Baker. Zbl 0748.30020
Bergweiler, Walter
17
1991
Karpińska’s paradox in dimension 3. Zbl 1218.37057
Bergweiler, Walter
16
2010
Normality and exceptional values of derivatives. Zbl 0961.30025
Bergweiler, Walter
15
2001
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
The fast escaping set for quasiregular mappings. Zbl 1347.37085
Bergweiler, Walter; Drasin, David; Fletcher, Alastair
14
2014
Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020
Bergweiler, Walter; Eremenko, Alexandre; Langley, James K.
14
2003
Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021
Bergweiler, Walter; Terglane, Norbert
14
1996
Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013
Bergweiler, Walter; Eremenko, Alexandre
14
2006
Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009
Bergweiler, Walter; Eremenko, Alexandre
14
2008
On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027
Bergweiler, Walter; Karpińska, Bogusława
14
2010
Zeros of solutions of a functional equation. Zbl 1087.39022
Bergweiler, Walter; Hayman, Walter K.
13
2003
The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012
Bergweiler, Walter
13
2000
Proof of a conjecture of Gross concerning fix-points. Zbl 0681.30014
Bergweiler, Walter
12
1990
On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018
Bergweiler, Walter; Kotus, Janina
12
2012
Fixed points of composite entire and quasiregular maps. Zbl 1215.30007
Bergweiler, Walter
11
2006
Entire functions with Julia sets of positive measure. Zbl 1243.37038
Aspenberg, Magnus; Bergweiler, Walter
11
2012
On the Bank-Laine conjecture. Zbl 1381.34111
Bergweiler, Walter; Eremenko, Alexandre
11
2017
Nonvanishing derivatives and normal families. Zbl 1071.30031
Bergweiler, Walter; Langley, J. K.
11
2003
Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001
Bergweiler, Walter; Eremenko, Alexandre
10
2016
Order and lower order of composite meromorphic functions. Zbl 0669.30014
Bergweiler, Walter
10
1989
Periodic points and normal families. Zbl 0973.30023
Bargmann, Detlef; Bergweiler, Walter
10
2001
Quasiconformal surgery and linear differential equations. Zbl 1419.34235
Bergweiler, Walter; Eremenko, Alexandre
9
2019
An entire function with simply and multiply connected wandering domains. Zbl 1257.37029
Bergweiler, Walter
9
2011
Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015
Bergweiler, Walter; Eremenko, Alexandre
9
2011
On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002
Bergweiler, Walter; Eremenko, Alexandre
9
2010
On the set where the iterates of an entire function are bounded. Zbl 1408.37076
Bergweiler, Walter
8
2012
Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045
Becker, Paul-Georg; Bergweiler, Walter
8
1993
Canonical products of infinite order. Zbl 0764.30024
Bergweiler, Walter
8
1992
Some examples of Baker domains. Zbl 1247.37038
Bergweiler, Walter; Zheng, Jian-Hua
8
2012
On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031
Bergweiler, Walter; Zheng, Jian-Hua
7
2011
Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044
Bergweiler, Walter; Peter, Jörn
7
2013
Multiplicities in Hayman’s alternative. Zbl 1074.30028
Bergweiler, Walter; Langley, J. K.
7
2005
Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039
Bergweiler, Walter; Eremenko, Alexandre
7
2000
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 meromorphic functions that share three values and on the exceptional set in Wiman-Valiron theory. Zbl 0708.30030
Bergweiler, Walter
6
1990
On the value distribution of composite meromorphic functions. Zbl 0793.30023
Bergweiler, Walter; Yang, Chung-Chun
6
1993
Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134
Bergweiler, Walter; Chyzhykov, Igor
6
2016
Quasinormal families and periodic points. Zbl 1089.30028
Bergweiler, Walter
6
2005
Periodische Punkte bei der Iteration ganzer Funktionen. Zbl 0728.30021
Bergweiler, Walter
6
1991
Meromorphic functions with linearly distributed values and Julia sets of rational functions. Zbl 1172.30004
Bergweiler, Walter; Eremenko, Alexandre
6
2009
Baker domains for Newton’s method. Zbl 1122.30019
Bergweiler, Walter; Drasin, David; Langley, James
6
2007
Maximum modulus, characteristic, and area on the sphere. Zbl 0703.30025
Bergweiler, Walter
5
1990
A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024
Bergweiler, Walter
5
1994
Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012
Bergweiler, Walter; Eremenko, Alexandre
5
2015
On the fix-points of composite functions. Zbl 0649.30018
Bergweiler, Walter
5
1990
On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077
Bergweiler, Walter
5
2012
Rescaling principles in function theory. Zbl 0993.30018
Bergweiler, Walter
5
2001
On the product of a meromorphic function and its derivative. Zbl 0928.30016
Bergweiler, Walter
5
1997
Singularities in Baker domains. Zbl 1034.30018
Bergweiler, Walter
5
2001
Meromorphic functions with two completely invariant domains. Zbl 1168.30009
Bergweiler, Walter; Eremenko, Alexandre
5
2008
An introduction to complex dynamics. Zbl 0893.58034
Bergweiler, Walter
5
1995
Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064
Bergweiler, Walter
5
2018
Entire functions with two radially distributed values. Zbl 1405.30027
Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo
5
2018
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
4
2015
Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00050
4
2009
Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019
Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz
4
1984
Gol’dberg’s constants. Zbl 1304.30034
Bergweiler, Walter; Eremenko, Alexandre
4
2013
Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025
Bergweiler, Walter
4
2004
An example concerning factorization of rational functions. Zbl 0780.30022
Bergweiler, Walter
4
1993
Newton’s method and Baker domains. Zbl 1201.30025
Bergweiler, Walter
4
2010
On the number of critical points in parabolic basins. Zbl 1008.37025
Bergweiler, Walter
4
2002
Semihyperbolic entire functions. Zbl 1026.30025
Bergweiler, Walter; Morosawa, Shunsuke
4
2002
On the growth of meromorphic functions of infinite order. Zbl 0828.30013
Bergweiler, Walter; Bock, Heinrich
4
1994
Omitted values in domains of normality. Zbl 0826.30016
Bergweiler, Walter; Rohde, Steffen
4
1995
On the existence of fixpoints of composite meromorphic functions. Zbl 0744.30017
Bergweiler, Walter
4
1992
An inequality for real functions with applications to function theory. Zbl 0638.30028
Bergweiler, Walter
3
1989
The size of Wilman-Valiron discs. Zbl 1226.30029
Bergweiler, W.
3
2011
Newton’s method for meromorphic functions. Zbl 0810.30017
Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
3
1994
A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049
Bergweiler, Walter
3
2002
On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017
Bergweiler, Walter; Terglane, Norbert
3
1998
Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015
Becker, Paul-Georg; Bergweiler, Walter
3
1995
Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005
Bergweiler, Walter
3
1995
On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013
Bergweiler, Walter
3
1995
Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020
Bergweiler, Walter; Eremenko, Alex; Langley, Jim K.
3
2005
On the number of solutions of some transcendental equations. Zbl 1401.30016
Bergweiler, Walter; Eremenko, Alexandre
3
2018
The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class. Zbl 1511.37053
Bergweiler, Walter; Cui, Weiwei
1
2022
Radially distributed values and normal families. II. Zbl 1462.30014
Bergweiler, Walter; Eremenko, Alexandre
1
2020
Quasiconformal surgery and linear differential equations. Zbl 1419.34235
Bergweiler, Walter; Eremenko, Alexandre
9
2019
Radially distributed values and normal families. Zbl 1480.30024
Bergweiler, Walter; Eremenko, Alexandre
3
2019
Lebesgue measure of Julia sets and escaping sets of certain entire functions. Zbl 1476.37064
Bergweiler, Walter
5
2018
Entire functions with two radially distributed values. Zbl 1405.30027
Bergweiler, Walter; Eremenko, Alexandre; Hinkkanen, Aimo
5
2018
On the number of solutions of some transcendental equations. Zbl 1401.30016
Bergweiler, Walter; Eremenko, Alexandre
3
2018
On the Bank-Laine conjecture. Zbl 1381.34111
Bergweiler, Walter; Eremenko, Alexandre
11
2017
Green’s function and anti-holomorphic dynamics on a torus. Zbl 1337.31001
Bergweiler, Walter; Eremenko, Alexandre
10
2016
Lebesgue measure of escaping sets of entire functions of completely regular growth. Zbl 1352.37134
Bergweiler, Walter; Chyzhykov, Igor
6
2016
Hyperbolic entire functions with bounded Fatou components. Zbl 1338.37056
Bergweiler, Walter; Fagella, Núria; Rempe-Gillen, Lasse
19
2015
Distribution of zeros of polynomials with positive coefficients. Zbl 1332.30012
Bergweiler, Walter; Eremenko, Alexandre
5
2015
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
4
2015
An entire function with no fixed points and no invariant Baker domains. Zbl 1401.37053
Bergweiler, Walter
1
2015
Hausdorff measure of hairs without endpoints in the exponential family. Zbl 1343.37024
Bergweiler, Walter; Wang, Jun
1
2015
Foundations for an iteration theory of entire quasiregular maps. Zbl 1364.37098
Bergweiler, Walter; Nicks, Daniel A.
17
2014
The fast escaping set for quasiregular mappings. Zbl 1347.37085
Bergweiler, Walter; Drasin, David; Fletcher, Alastair
14
2014
The Julia set and the fast escaping set of a quasiregular mapping. Zbl 1385.37061
Bergweiler, Walter; Fletcher, Alastair; Nicks, Daniel A.
7
2014
Multiply connected wandering domains of entire functions. Zbl 1325.37026
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
30
2013
Fatou-Julia theory for non-uniformly quasiregular maps. Zbl 1279.37037
Bergweiler, Walter
19
2013
Escape rate and Hausdorff measure for entire functions. Zbl 1279.30044
Bergweiler, Walter; Peter, Jörn
7
2013
Gol’dberg’s constants. Zbl 1304.30034
Bergweiler, Walter; Eremenko, Alexandre
4
2013
On the Hausdorff dimension of the escaping set of certain meromorphic functions. Zbl 1294.37018
Bergweiler, Walter; Kotus, Janina
12
2012
Entire functions with Julia sets of positive measure. Zbl 1243.37038
Aspenberg, Magnus; Bergweiler, Walter
11
2012
On the set where the iterates of an entire function are bounded. Zbl 1408.37076
Bergweiler, Walter
8
2012
Some examples of Baker domains. Zbl 1247.37038
Bergweiler, Walter; Zheng, Jian-Hua
8
2012
On the packing dimension of the Julia set and the escaping set of an entire function. Zbl 1291.37077
Bergweiler, Walter
5
2012
A property of the derivative of an entire function. Zbl 1291.30181
Bergweiler, Walter; Eremenko, Alexandre
3
2012
An entire function with simply and multiply connected wandering domains. Zbl 1257.37029
Bergweiler, Walter
9
2011
Dynamics of a higher dimensional analog of the trigonometric functions. Zbl 1234.37015
Bergweiler, Walter; Eremenko, Alexandre
9
2011
On the uniform perfectness of the boundary of multiply connected wandering domains. Zbl 1256.37031
Bergweiler, Walter; Zheng, Jian-Hua
7
2011
The size of Wilman-Valiron discs. Zbl 1226.30029
Bergweiler, W.
3
2011
Iteration of quasiregular mappings. Zbl 1243.30057
Bergweiler, Walter
21
2010
Karpińska’s paradox in dimension 3. Zbl 1218.37057
Bergweiler, Walter
16
2010
On the Hausdorff dimension of the Julia set of a regularly growing entire function. Zbl 1198.30027
Bergweiler, Walter; Karpińska, Bogusława
14
2010
On the number of solutions of a transcendental equation arising in the theory of gravitational lensing. Zbl 1198.31002
Bergweiler, Walter; Eremenko, Alexandre
9
2010
Newton’s method and Baker domains. Zbl 1201.30025
Bergweiler, Walter
4
2010
Normal families and fixed points of iterates. Zbl 1213.30064
Bergweiler, Walter
2
2010
The growth rate of an entire function and the Hausdorff dimension of its Julia set. Zbl 1206.37021
Bergweiler, Walter; Karpińska, Bogusława; Stallard, Gwyneth M.
19
2009
The escaping set of a quasiregular mapping. Zbl 1161.30008
Bergweiler, Walter; Fletcher, Alastair; Langley, Jim; Meyer, Janis
19
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
4
2009
Dynamics of meromorphic functions with direct or logarithmic singularities. Zbl 1174.37011
Bergweiler, Walter; Rippon, Philip J.; Stallard, Gwyneth M.
49
2008
Direct singularities and completely invariant domains of entire functions. Zbl 1171.30009
Bergweiler, Walter; Eremenko, Alexandre
14
2008
Meromorphic functions with two completely invariant domains. Zbl 1168.30009
Bergweiler, Walter; Eremenko, Alexandre
5
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.
130
2007
Baker domains for Newton’s method. Zbl 1122.30019
Bergweiler, Walter; Drasin, David; Langley, James
6
2007
Bloch’s principle. Zbl 1101.30034
Bergweiler, Walter
37
2006
Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions. Zbl 1121.30013
Bergweiler, Walter; Eremenko, Alexandre
14
2006
Fixed points of composite entire and quasiregular maps. Zbl 1215.30007
Bergweiler, Walter
11
2006
Multiplicities in Hayman’s alternative. Zbl 1074.30028
Bergweiler, Walter; Langley, J. K.
7
2005
Quasinormal families and periodic points. Zbl 1089.30028
Bergweiler, Walter
6
2005
Zeros of differential polynomials in real meromorphic functions. Zbl 1073.30020
Bergweiler, Walter; Eremenko, Alex; Langley, Jim K.
3
2005
Fixed points of composite meromorphic functions and normal families. Zbl 1058.30025
Bergweiler, Walter
4
2004
On the derivative of meromorphic functions with multiple zeros. Zbl 1160.30341
Bergweiler, Walter; Pang, Xuecheng
22
2003
Real entire functions of infinite order and a conjecture of Wiman. Zbl 1112.30020
Bergweiler, Walter; Eremenko, Alexandre; Langley, James K.
14
2003
Zeros of solutions of a functional equation. Zbl 1087.39022
Bergweiler, Walter; Hayman, Walter K.
13
2003
Nonvanishing derivatives and normal families. Zbl 1071.30031
Bergweiler, Walter; Langley, J. K.
11
2003
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
26
2002
On the number of critical points in parabolic basins. Zbl 1008.37025
Bergweiler, Walter
4
2002
Semihyperbolic entire functions. Zbl 1026.30025
Bergweiler, Walter; Morosawa, Shunsuke
4
2002
A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Zbl 1080.37049
Bergweiler, Walter
3
2002
Normality and exceptional values of derivatives. Zbl 0961.30025
Bergweiler, Walter
15
2001
Periodic points and normal families. Zbl 0973.30023
Bargmann, Detlef; Bergweiler, Walter
10
2001
Rescaling principles in function theory. Zbl 0993.30018
Bergweiler, Walter
5
2001
Singularities in Baker domains. Zbl 1034.30018
Bergweiler, Walter
5
2001
Correction to the paper “Entire functions of slow growth whose Julia set coincides with the plane”. Zbl 1096.37502
Bergweiler, Walter; Eremenko, Alexandre
2
2001
The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012
Bergweiler, Walter
13
2000
Entire functions of slow growth whose Julia set coincides with the plane. Zbl 0992.37039
Bergweiler, Walter; Eremenko, Alexandre
7
2000
On semiconjugation of entire functions. Zbl 0939.30019
Bergweiler, Walter; Hinkkanen, A.
68
1999
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
34
1998
A new proof of the Ahlfors five islands theorem. Zbl 0974.30010
Bergweiler, Walter
22
1998
On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. Zbl 1054.34515
Bergweiler, Walter
15
1998
On the dynamics of composite entire functions. Zbl 0906.30025
Bergweiler, Walter; Wang, Yuefei
15
1998
On the zeros of solutions of linear differential equations of the second order. Zbl 0941.30017
Bergweiler, Walter; Terglane, Norbert
3
1998
On the product of a meromorphic function and its derivative. Zbl 0928.30016
Bergweiler, Walter
5
1997
Weakly repelling fixpoints and the connectivity of wandering domains. Zbl 0842.30021
Bergweiler, Walter; Terglane, Norbert
14
1996
A quantitative version of Picard’s theorem. Zbl 0861.30029
Bergweiler, Walter
1
1996
On the singularities of the inverse to a meromorphic function of finite order. Zbl 0830.30016
Bergweiler, Walter; Eremenko, Alexandre
198
1995
Invariant domains and singularities. Zbl 0836.30016
Bergweiler, Walter
25
1995
On the zeros of certain homogeneous differential polynomials. Zbl 0818.30021
Bergweiler, W.
21
1995
On the Julia set of analytic self-maps of the punctured plane. Zbl 0829.30014
Bergweiler, Walter
19
1995
An introduction to complex dynamics. Zbl 0893.58034
Bergweiler, Walter
5
1995
Omitted values in domains of normality. Zbl 0826.30016
Bergweiler, Walter; Rohde, Steffen
4
1995
Hypertranscendency of conjugacies in complex dynamics. Zbl 0818.30015
Becker, Paul-Georg; Bergweiler, Walter
3
1995
Solution of a problem of Rubel concerning iteration and algebraic differential equations. Zbl 0824.34005
Bergweiler, Walter
3
1995
On the composition of transcendental entire and meromorphic functions. Zbl 0831.30013
Bergweiler, Walter
3
1995
Proof of a conjecture of Baker concerning the distribution of fixpoints. Zbl 0822.30024
Bergweiler, Walter; Clunie, Jim; Langley, Jim
1
1995
On factorization of certain entire functions. Zbl 0830.30015
Bergweiler, Walter
1
1995
A question of Gol’dberg concerning entire functions with prescribed zeros. Zbl 0796.30024
Bergweiler, Walter
5
1994
On the growth of meromorphic functions of infinite order. Zbl 0828.30013
Bergweiler, Walter; Bock, Heinrich
4
1994
Newton’s method for meromorphic functions. Zbl 0810.30017
Bergweiler, Walter; von Haeseler, Fritz; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
3
1994
Open problems in complex analysis. Zbl 0822.30001
Bergweiler, W.; Laine, I.
2
1994
Iteration of meromorphic functions. Zbl 0791.30018
Bergweiler, Walter
323
1993
On the limit functions of iterates in wandering domains. Zbl 0793.30022
Bergweiler, Walter; Haruta, Mako; Kriete, Hartje; Meier, Hans-Günter; Terglane, Norbert
24
1993
Newton’s method and a class of meromorphic functions without wandering domains. Zbl 0781.58011
Bergweiler, Walter
17
1993
Transcendency of local conjugacies in complex dynamics and transcendency of their values. Zbl 0808.11045
Becker, Paul-Georg; Bergweiler, Walter
8
1993
On the value distribution of composite meromorphic functions. Zbl 0793.30023
Bergweiler, Walter; Yang, Chung-Chun
6
1993
An example concerning factorization of rational functions. Zbl 0780.30022
Bergweiler, Walter
4
1993
...and 16 more Documents
all top 5

Cited by 648 Authors

67 Bergweiler, Walter
37 Langley, James K.
31 Chen, Zongxuan
24 Biswas, Tanmay
22 Sixsmith, David Jonathan
20 Fang, Mingliang
20 Rempe-Gillen, Lasse
20 Rippon, Philip Jonathan
19 Eremenko, Alexandre Émmanuilovich
19 Fletcher, Alastair N.
19 Stallard, Gwyneth Mary
19 Yang, Chung-Chun
18 Fagella, Núria
18 Wang, Yuefei
17 Liu, Kai
17 Yuan, Wenjun
16 Zheng, Jianhua
15 Nicks, Daniel A.
15 Yang, Lianzhong
14 Urbański, Mariusz
13 Pang, Xuecheng
12 Kotus, Janina
12 Zalcman, Lawrence Allen
11 Evdoridou, Vasiliki
11 Qi, Jianming
11 Wang, Jun
11 Yi, Hongxun
10 Chang, Jianming
10 Hawkins, Jane M.
10 Huang, Zhibo
10 Jarque, Xavier
10 Nayak, Tarakanta
10 Xu, Junfeng
9 Barański, Krzysztof
9 Benini, Anna Miriam
9 Biswas, Chinmay
9 Hu, Peichu
9 Karpińska, Bogusława
9 Kumar Datta, Sanjib
9 Li, Sheng
9 Lu, Feng
9 Majumder, Sujoy
9 Mayer, Volker
9 Xu, Hongyan
9 Zhang, Guowei
8 Charak, Kuldeep Singh
8 Heittokangas, Janne M.
8 Koss, Lorelei
8 Liao, Liangwen
8 Lu, Weiran
8 Nevo, Shahar
8 Shon, Kwangho
8 Xu, Yan
8 Zheng, Xiumin
7 Cao, Tingbin
7 Chen, Baoqin
7 Ding, Jie
7 Ishizaki, Katsuya
7 Li, Xiaomin
7 Zhang, Xiaobin
6 Banerjee, Dibyendu
6 Bishop, Christopher James
6 Cao, Chunlei
6 Huang, Zhigang
6 Lan, Shuangting
6 Lin, Jianming
6 Liu, Dan
6 Liu, Xinling
6 Liu, Yong
6 Qi, Xiaoguang
6 Sienra, Guillermo J. F.
6 Tohge, Kazuya
6 Wang, Xiaoling
6 Zhang, Ranran
5 Banerjee, Abhijit
5 Chai, Fujie
5 Chen, Chuangxin
5 Chiang, Yik-Man
5 Deng, Bingmao
5 Domínguez, Patricia
5 Drasin, David
5 Gao, Zongsheng
5 Korhonen, Risto
5 Laine, Ilpo
5 Lundberg, Erik
5 Martí-Pete, David
5 Osborne, John W.
5 Prasad, M. Guru Prem
5 Tomar, Garima
5 Wen, Zhitao
5 Wu, Linlin
5 Yang, Pai
5 Yao, Xiao
5 Zdunik, Anna
4 Adhikary, Mithun
4 Ahamed, Molla Basir
4 Annaby, Mahmoud H.
4 Aspenberg, Magnus
4 Chakra, Tarun Kumar
4 Chen, Wei
...and 548 more Authors
all top 5

Cited in 205 Serials

64 Journal of Mathematical Analysis and Applications
57 Computational Methods and Function Theory
44 Proceedings of the American Mathematical Society
37 Advances in Difference Equations
36 Journal d’Analyse Mathématique
34 Ergodic Theory and Dynamical Systems
21 Transactions of the American Mathematical Society
21 Complex Variables and Elliptic Equations
20 Mathematical Proceedings of the Cambridge Philosophical Society
20 Abstract and Applied Analysis
19 Journal of Difference Equations and Applications
17 Mathematische Zeitschrift
17 Conformal Geometry and Dynamics
14 Acta Mathematica Sinica. English Series
13 Results in Mathematics
12 Journal of Inequalities and Applications
12 Acta Mathematica Scientia. Series B. (English Edition)
12 Science China. Mathematics
10 Bulletin of the Australian Mathematical Society
10 Annales Academiae Scientiarum Fennicae. Mathematica
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Journal of the Australian Mathematical Society
8 Indian Journal of Pure & Applied Mathematics
8 Israel Journal of Mathematics
8 Advances in Mathematics
8 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
8 Analysis and Mathematical Physics
7 Illinois Journal of Mathematics
7 Mathematische Annalen
7 Proceedings of the Japan Academy. Series A
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Ukrainian Mathematical Journal
6 Archiv der Mathematik
6 Journal of the London Mathematical Society. Second Series
6 Bulletin of the Korean Mathematical Society
6 Science in China. Series A
6 Applied Mathematics. Series B (English Edition)
5 Analysis Mathematica
5 Rocky Mountain Journal of Mathematics
5 Arkiv för Matematik
5 Bulletin of the London Mathematical Society
5 Monatshefte für Mathematik
5 Aequationes Mathematicae
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Experimental Mathematics
5 Matematychni Studiï
5 Discrete Dynamics in Nature and Society
5 Complex Analysis and Operator Theory
5 Frontiers of Mathematics in China
5 Korean Journal of Mathematics
5 Annales Fennici Mathematici
4 Computers & Mathematics with Applications
4 Annales Polonici Mathematici
4 The Journal of the Indian Mathematical Society. New Series
4 Mathematische Nachrichten
4 Nagoya Mathematical Journal
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Constructive Approximation
4 Revista Matemática Iberoamericana
4 The Journal of Geometric Analysis
4 The Journal of Analysis
4 Discrete and Continuous Dynamical Systems
4 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
4 Arnold Mathematical Journal
3 Communications in Mathematical Physics
3 Acta Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Kodai Mathematical Journal
3 Mathematica Slovaca
3 Tôhoku Mathematical Journal. Second Series
3 Topology and its Applications
3 Chinese Annals of Mathematics. Series B
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Journal of Dynamics and Differential Equations
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Lobachevskii Journal of Mathematics
3 Dynamical Systems
3 Mediterranean Journal of Mathematics
3 Tbilisi Mathematical Journal
3 Journal of Classical Analysis
3 Journal of Complex Analysis
3 Open Mathematics
3 AIMS Mathematics
2 Mathematical Methods in the Applied Sciences
2 Annales de l’Institut Fourier
2 Canadian Mathematical Bulletin
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Gaṇita
2 Geometriae Dedicata
2 Inventiones Mathematicae
2 Journal of Approximation Theory
2 Journal of Differential Equations
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Applied Mathematics Letters
2 Sugaku Expositions
2 International Journal of Mathematics
2 IMRN. International Mathematics Research Notices
2 Geometric and Functional Analysis. GAFA
...and 105 more Serials
all top 5

Cited in 40 Fields

830 Functions of a complex variable (30-XX)
362 Dynamical systems and ergodic theory (37-XX)
128 Difference and functional equations (39-XX)
85 Ordinary differential equations (34-XX)
33 Several complex variables and analytic spaces (32-XX)
20 Special functions (33-XX)
19 Measure and integration (28-XX)
16 Number theory (11-XX)
13 Potential theory (31-XX)
10 Numerical analysis (65-XX)
9 General topology (54-XX)
8 Real functions (26-XX)
8 Partial differential equations (35-XX)
6 Field theory and polynomials (12-XX)
6 Differential geometry (53-XX)
5 Functional analysis (46-XX)
5 Operator theory (47-XX)
5 Relativity and gravitational theory (83-XX)
4 Algebraic geometry (14-XX)
4 Group theory and generalizations (20-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Astronomy and astrophysics (85-XX)
3 History and biography (01-XX)
3 Manifolds and cell complexes (57-XX)
3 Probability theory and stochastic processes (60-XX)
2 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