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Baker, Irvine Noel

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Author ID: baker.irvine-noel Recent zbMATH articles by "Baker, Irvine Noel"
Published as: Baker, I. N.; Baker, Irvine Noel; Baker, Irvine N.; Baker, Ian N.
External Links: MGP · Wikidata · GND
Documents Indexed: 73 Publications since 1955
Reviewing Activity: 130 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 887 times in 491 Documents Cited by Year
Wandering domains in the iteration of entire functions. Zbl 0523.30017
Baker, I. N.
68
1984
The domains of normality of an entire function. Zbl 0329.30019
Baker, I. N.
50
1975
Iterates of meromorphic functions. IV: Critically finite functions. Zbl 0774.30024
Baker, I. N.; Kotus, J.; Lü, Yinian
46
1992
Zusammensetzungen ganzer Funktionen. Zbl 0178.07502
Baker, Irvine Noel
45
1958
Repulsive fixpoints of entire functions. Zbl 0172.09502
Baker, I. N.
42
1968
Iteration of exponential functions. Zbl 0558.30029
Baker, I. N.; Rippon, P. J.
35
1984
Fixpoints of polynomials and rational functions. Zbl 0138.05503
Baker, I. N.
33
1964
An entire function which has wandering domains. Zbl 0335.30001
Baker, I. N.
32
1976
Iterates of meromorphic functions. III: Preperiodic domains. Zbl 0774.30023
Baker, I. N.; Kotus, J.; Lü, Yinian
30
1991
Iterates of meromorphic functions. I. Zbl 0711.30024
Baker, I. N.; Kotus, J.; Yinian, Lü
30
1991
On the iteration of analytic functions in a half-plane II. Zbl 0419.30025
Baker, I. N.; Pommerenke, Ch.
27
1979
The iteration of polynomials and transcendental entire functions. Zbl 0474.30023
Baker, I. N.
24
1981
Iterates of meromorphic functions. II: Examples of wandering domains. Zbl 0726.30022
Baker, I. N.; Kotus, J.; Lü, Yinian
22
1990
Permutable power series and regular iteration. Zbl 0113.28302
Baker, I. N.
22
1962
Wandering domains for maps of the punctered plane. Zbl 0606.30029
Baker, I. N.
21
1987
Limit functions and sets of non-normality in iteration theory. Zbl 0197.05302
Baker, I. N.
19
1970
Fractional iteration near a fixpoint of multiplier 1. Zbl 0134.05402
Baker, I. N.
18
1964
Sets of non-normality in iteration theory. Zbl 0136.37804
Baker, I. N.
18
1965
On a class of meromorphic functions. Zbl 0161.35203
Baker, I. N.
17
1966
A problem of Julia sets. Zbl 0606.30030
Baker, I. N.; Eremenko, A.
17
1987
A theorem on entire functions with applications to Toeplitz operators. Zbl 0296.30020
Baker, I. N.; Deddens, James A.; Ullman, J. L.
14
1974
On factorizing entire functions. Zbl 0159.10002
Baker, I. N.; Gross, F.
12
1968
Further results on factorization of entire function. Zbl 0177.10402
Baker, I. N.; Gross, F.
12
1968
Some entire functions with multiply-connected wandering domains. Zbl 0545.30014
Baker, I. N.
12
1985
Dynamics of functions meromorphic outside a small set. Zbl 0990.37033
Baker, I. N.; Domínguez, P.; Herring, M. E.
12
2001
Multiply connected domains of normality in iteration theory. Zbl 0107.06203
Baker, Irvine Noel
12
1963
The existence of fixpoints of entire functions. Zbl 0129.29102
Baker, Irvine Noel
12
1960
Infinite limits in the iteration of entire functions. Zbl 0642.30021
Baker, I. N.
11
1988
Towers of exponents and other composite maps. Zbl 0644.30014
Baker, I. N.; Rippon, P. J.
11
1989
Some connectedness properties of Julia sets. Zbl 1020.30027
Baker, I. N.; Domínguez, P.
10
2000
The iteration of entire transcendental functions and the solution of the functional equation \(f\{f(z)\}=F(z)\). Zbl 0064.07102
Baker, I. N.
10
1955
Permutable entire functions. Zbl 0107.28301
Baker, Irvine Noel
10
1962
Fixpoint and iterates of entire functions. Zbl 0168.04002
Baker, I. N.
9
1959
Boundaries of unbounded Fatou components of entire functions. Zbl 0935.30020
Baker, I. N.; Domínguez, P.
9
1999
On compositions of analytic self-mappings of a convex domain. Zbl 0715.30022
Baker, I. N.; Rippon, P. J.
8
1990
Wandering domains in the iteration of compositions of entire functions. Zbl 0821.30019
Baker, I. N.; Singh, Anand P.
8
1995
Entire functions with linearly distributed values. Zbl 0136.37805
Baker, Irvine Noel
8
1964
Completely invariant domains of entire functions. Zbl 0208.34004
Baker, I. N.
8
1970
Boundaries which arise in the dynamics of entire functions. Zbl 0756.30021
Baker, I. N.; Weinreich, J.
7
1991
Non-embeddable functions with a fixpoint of multiplier 1. Zbl 0162.10103
Baker, I. N.
6
1967
Convergence of infinite exponentials. Zbl 0503.30022
Baker, I. N.; Rippon, P. J.
6
1983
On some results of A. Renyi and C. Renyi concerning periodic entire functions. Zbl 0147.06702
Baker, I. N.
6
1966
The distribution of values of certain entire and meromorphic functions. Zbl 0473.30023
Anderson, James M.; Baker, Irvine N.; Clunie, James G.
5
1981
A note on complex iteration. Zbl 0605.30027
Baker, I. N.; Rippon, P. J.
5
1985
The value distribution of composite entire functions. Zbl 0214.08501
Baker, I. N.
5
1971
The distribution of fixpoints of entire functions. Zbl 0168.04101
Baker, I. N.
4
1966
Iteration of entire functions: An introductory survey. Zbl 0746.30003
Baker, I. N.
4
1988
Analytic self-maps of the punctured plane. Zbl 0952.30023
Baker, I. N.; Domínguez, P.
4
1998
Some entire functions with fixpoints of every order. Zbl 0129.29103
Baker, I. N.
4
1960
Functions meromorphic outside a small set: completely invariant domains. Zbl 1052.37035
Baker, I. N.; Domínguez, P.; Herring, M. E.
3
2004
Iterating exponential functions with cyclic exponents. Zbl 0705.33001
Baker, I. N.; Rippon, P. J.
2
1989
An infinite order periodic entire function which is prime. Zbl 0374.30004
Baker, I. N.; Yang, Chung-Chun
2
1977
The value distribution of entire functions of order at most one. Zbl 0417.30020
Baker, I. N.; Liverpool, L. S. O.
2
1979
Residual Julia sets. Zbl 0977.30014
Baker, I. N.; Domínguez, P.
2
2000
Dynamics of slowly growing entire functions. Zbl 1108.37036
Baker, I. N.
2
2001
Limit functions in wandering domains of meromorphic functions. Zbl 1019.37027
Baker, I. N.
2
2002
Picard sets for entire functions. Zbl 0225.30030
Baker, Irvine N.; Liverpool, L. S. O.
2
1972
Further results on Picard sets of entire functions. Zbl 0258.30028
Baker, I. N.; Liverpool, L. S. O.
2
1973
Entire functions with two linearly distributed values. Zbl 0457.30024
Baker, I. N.
1
1980
Convergence of a modified iteration process. Zbl 0872.30018
Baker, I. N.; Maalouf, R. N.
1
1995
On factorizing meromorphic functions. Zbl 0894.30019
Baker, Ian N.
1
1997
Error estimates in a calculation of Ruelle. Zbl 0844.30018
Baker, I. N.; Stallard, G. M.
1
1996
Analytic mappings between two ultrahyperelliptic surfaces. Zbl 0328.30004
Baker, I. N.
1
1976
The entire solutions of a polynomial difference equation. Zbl 0557.30003
Baker, I. N.; Liverpool, L. S. O.
1
1984
A note on infinite exponentials. Zbl 0563.40001
Baker, I. N.; Rippon, P. J.
1
1985
Solutions of the functional equation \((f(x))^2 - f(x^2) = h(x)\). Zbl 0096.32201
Baker, I. N.
1
1960
Functions meromorphic outside a small set: completely invariant domains. Zbl 1052.37035
Baker, I. N.; Domínguez, P.; Herring, M. E.
3
2004
Limit functions in wandering domains of meromorphic functions. Zbl 1019.37027
Baker, I. N.
2
2002
Dynamics of functions meromorphic outside a small set. Zbl 0990.37033
Baker, I. N.; Domínguez, P.; Herring, M. E.
12
2001
Dynamics of slowly growing entire functions. Zbl 1108.37036
Baker, I. N.
2
2001
Some connectedness properties of Julia sets. Zbl 1020.30027
Baker, I. N.; Domínguez, P.
10
2000
Residual Julia sets. Zbl 0977.30014
Baker, I. N.; Domínguez, P.
2
2000
Boundaries of unbounded Fatou components of entire functions. Zbl 0935.30020
Baker, I. N.; Domínguez, P.
9
1999
Analytic self-maps of the punctured plane. Zbl 0952.30023
Baker, I. N.; Domínguez, P.
4
1998
On factorizing meromorphic functions. Zbl 0894.30019
Baker, Ian N.
1
1997
Error estimates in a calculation of Ruelle. Zbl 0844.30018
Baker, I. N.; Stallard, G. M.
1
1996
Wandering domains in the iteration of compositions of entire functions. Zbl 0821.30019
Baker, I. N.; Singh, Anand P.
8
1995
Convergence of a modified iteration process. Zbl 0872.30018
Baker, I. N.; Maalouf, R. N.
1
1995
Iterates of meromorphic functions. IV: Critically finite functions. Zbl 0774.30024
Baker, I. N.; Kotus, J.; Lü, Yinian
46
1992
Iterates of meromorphic functions. III: Preperiodic domains. Zbl 0774.30023
Baker, I. N.; Kotus, J.; Lü, Yinian
30
1991
Iterates of meromorphic functions. I. Zbl 0711.30024
Baker, I. N.; Kotus, J.; Yinian, Lü
30
1991
Boundaries which arise in the dynamics of entire functions. Zbl 0756.30021
Baker, I. N.; Weinreich, J.
7
1991
Iterates of meromorphic functions. II: Examples of wandering domains. Zbl 0726.30022
Baker, I. N.; Kotus, J.; Lü, Yinian
22
1990
On compositions of analytic self-mappings of a convex domain. Zbl 0715.30022
Baker, I. N.; Rippon, P. J.
8
1990
Towers of exponents and other composite maps. Zbl 0644.30014
Baker, I. N.; Rippon, P. J.
11
1989
Iterating exponential functions with cyclic exponents. Zbl 0705.33001
Baker, I. N.; Rippon, P. J.
2
1989
Infinite limits in the iteration of entire functions. Zbl 0642.30021
Baker, I. N.
11
1988
Iteration of entire functions: An introductory survey. Zbl 0746.30003
Baker, I. N.
4
1988
Wandering domains for maps of the punctered plane. Zbl 0606.30029
Baker, I. N.
21
1987
A problem of Julia sets. Zbl 0606.30030
Baker, I. N.; Eremenko, A.
17
1987
Some entire functions with multiply-connected wandering domains. Zbl 0545.30014
Baker, I. N.
12
1985
A note on complex iteration. Zbl 0605.30027
Baker, I. N.; Rippon, P. J.
5
1985
A note on infinite exponentials. Zbl 0563.40001
Baker, I. N.; Rippon, P. J.
1
1985
Wandering domains in the iteration of entire functions. Zbl 0523.30017
Baker, I. N.
68
1984
Iteration of exponential functions. Zbl 0558.30029
Baker, I. N.; Rippon, P. J.
35
1984
The entire solutions of a polynomial difference equation. Zbl 0557.30003
Baker, I. N.; Liverpool, L. S. O.
1
1984
Convergence of infinite exponentials. Zbl 0503.30022
Baker, I. N.; Rippon, P. J.
6
1983
The iteration of polynomials and transcendental entire functions. Zbl 0474.30023
Baker, I. N.
24
1981
The distribution of values of certain entire and meromorphic functions. Zbl 0473.30023
Anderson, James M.; Baker, Irvine N.; Clunie, James G.
5
1981
Entire functions with two linearly distributed values. Zbl 0457.30024
Baker, I. N.
1
1980
On the iteration of analytic functions in a half-plane II. Zbl 0419.30025
Baker, I. N.; Pommerenke, Ch.
27
1979
The value distribution of entire functions of order at most one. Zbl 0417.30020
Baker, I. N.; Liverpool, L. S. O.
2
1979
An infinite order periodic entire function which is prime. Zbl 0374.30004
Baker, I. N.; Yang, Chung-Chun
2
1977
An entire function which has wandering domains. Zbl 0335.30001
Baker, I. N.
32
1976
Analytic mappings between two ultrahyperelliptic surfaces. Zbl 0328.30004
Baker, I. N.
1
1976
The domains of normality of an entire function. Zbl 0329.30019
Baker, I. N.
50
1975
A theorem on entire functions with applications to Toeplitz operators. Zbl 0296.30020
Baker, I. N.; Deddens, James A.; Ullman, J. L.
14
1974
Further results on Picard sets of entire functions. Zbl 0258.30028
Baker, I. N.; Liverpool, L. S. O.
2
1973
Picard sets for entire functions. Zbl 0225.30030
Baker, Irvine N.; Liverpool, L. S. O.
2
1972
The value distribution of composite entire functions. Zbl 0214.08501
Baker, I. N.
5
1971
Limit functions and sets of non-normality in iteration theory. Zbl 0197.05302
Baker, I. N.
19
1970
Completely invariant domains of entire functions. Zbl 0208.34004
Baker, I. N.
8
1970
Repulsive fixpoints of entire functions. Zbl 0172.09502
Baker, I. N.
42
1968
On factorizing entire functions. Zbl 0159.10002
Baker, I. N.; Gross, F.
12
1968
Further results on factorization of entire function. Zbl 0177.10402
Baker, I. N.; Gross, F.
12
1968
Non-embeddable functions with a fixpoint of multiplier 1. Zbl 0162.10103
Baker, I. N.
6
1967
On a class of meromorphic functions. Zbl 0161.35203
Baker, I. N.
17
1966
On some results of A. Renyi and C. Renyi concerning periodic entire functions. Zbl 0147.06702
Baker, I. N.
6
1966
The distribution of fixpoints of entire functions. Zbl 0168.04101
Baker, I. N.
4
1966
Sets of non-normality in iteration theory. Zbl 0136.37804
Baker, I. N.
18
1965
Fixpoints of polynomials and rational functions. Zbl 0138.05503
Baker, I. N.
33
1964
Fractional iteration near a fixpoint of multiplier 1. Zbl 0134.05402
Baker, I. N.
18
1964
Entire functions with linearly distributed values. Zbl 0136.37805
Baker, Irvine Noel
8
1964
Multiply connected domains of normality in iteration theory. Zbl 0107.06203
Baker, Irvine Noel
12
1963
Permutable power series and regular iteration. Zbl 0113.28302
Baker, I. N.
22
1962
Permutable entire functions. Zbl 0107.28301
Baker, Irvine Noel
10
1962
The existence of fixpoints of entire functions. Zbl 0129.29102
Baker, Irvine Noel
12
1960
Some entire functions with fixpoints of every order. Zbl 0129.29103
Baker, I. N.
4
1960
Solutions of the functional equation \((f(x))^2 - f(x^2) = h(x)\). Zbl 0096.32201
Baker, I. N.
1
1960
Fixpoint and iterates of entire functions. Zbl 0168.04002
Baker, I. N.
9
1959
Zusammensetzungen ganzer Funktionen. Zbl 0178.07502
Baker, Irvine Noel
45
1958
The iteration of entire transcendental functions and the solution of the functional equation \(f\{f(z)\}=F(z)\). Zbl 0064.07102
Baker, I. N.
10
1955
all top 5

Cited by 390 Authors

30 Bergweiler, Walter
18 Baker, Irvine Noel
17 Rippon, Philip Jonathan
17 Stallard, Gwyneth Mary
15 Yang, Chung-Chun
14 Rempe-Gillen, Lasse
14 Sixsmith, David Jonathan
13 Fagella, Núria
12 Kotus, Janina
11 Wang, Yuefei
9 Zheng, Jianhua
8 Jarque, Xavier
8 Ozawa, Mitsuru
7 Barański, Krzysztof
6 Devaney, Robert L.
6 Gross, Fred
6 Huang, Hansong
6 Koss, Lorelei
5 Arosio, Leandro
5 Benini, Anna Miriam
5 Bracci, Filippo
5 Chang, Jianming
5 Eremenko, Alexandre Émmanuilovich
5 Guo, Kunyu
5 Hawkins, Jane M.
5 Kannan, V.
5 Karpińska, Bogusława
5 Nayak, Tarakanta
5 Nicks, Daniel A.
5 Schleicher, Dierk
5 Urbański, Mariusz
5 Wang, Xiaoling
4 Contreras, Manuel D.
4 Dan, Hui
4 Domínguez, Patricia
4 Evdoridou, Vasiliki
4 Goldberg, Lisa Robin
4 Hua, Xinhou
4 Huang, Zhigang
4 Keen, Linda
4 Lu, Feng
4 Martí-Pete, David
4 Osborne, John W.
4 Pommerenke, Christian
4 Sienra, Guillermo J. F.
4 Vaillancourt, Rémi
4 Wang, Jun
4 Zhang, Guowei
3 Ahern, Patrick B.
3 Ali Akbar, Kamaludheen
3 Beardon, Alan Frank
3 Bishop, Christopher James
3 Cao, Chunlei
3 Chakra, Tarun Kumar
3 Cowen, Carl C.
3 Díaz-Madrigal, Santiago
3 Fang, Mingliang
3 Garijo, Antonio
3 Hinkkanen, Aimo
3 Hu, Peichu
3 Hubbard, John Hamal
3 Korhonen, Risto
3 Kumar, Dinesh Kant
3 Levin, Genadi M.
3 Liao, Liangwen
3 Liu, Xiaohua
3 Poggi-Corradini, Pietro
3 Qiao, Jianyong
3 Saleeby, Elias George
3 Shoikhet, David
3 Singh, Anand Prakash
3 Urabe, Hironobu
3 Yang, Lianzhong
3 Yao, Xiao
3 Zalcman, Lawrence Allen
3 Zhan, Guoping
3 Zhang, Weinian
2 Abrahamse, M. B.
2 Aschenbrenner, Matthias
2 Bargmann, Detlef
2 Barnard, Roger W.
2 Bézivin, Jean-Paul
2 Boc Thaler, Luka
2 Bodelón, Clara
2 Boutabaa, Abdelbaki
2 Canela, Jordi
2 Christensen, Jens Peter Reus
2 Clemons, Joshua J.
2 Dong, Xiaoying
2 Dwyer, Jerry F.
2 Elin, Mark
2 Fang, Liping
2 Fischer, Pal
2 Förster, Markus
2 Gao, Junyang
2 Gopal, Sharan
2 Han, Qi
2 Herman, Michael Robert
2 Hooshmand, Mohammad Hadi
2 Howland, James Lucien
...and 290 more Authors
all top 5

Cited in 137 Serials

38 Journal of Mathematical Analysis and Applications
28 Proceedings of the American Mathematical Society
27 Transactions of the American Mathematical Society
20 Journal d’Analyse Mathématique
18 Ergodic Theory and Dynamical Systems
18 Computational Methods and Function Theory
17 Mathematische Zeitschrift
17 Aequationes Mathematicae
13 Mathematical Proceedings of the Cambridge Philosophical Society
11 Conformal Geometry and Dynamics
9 Kodai Mathematical Journal
9 Kodai Mathematical Seminar Reports
8 Bulletin of the Australian Mathematical Society
8 Tohoku Mathematical Journal. Second Series
8 Journal of the Australian Mathematical Society
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Advances in Mathematics
6 Journal of Difference Equations and Applications
6 Complex Variables and Elliptic Equations
5 Israel Journal of Mathematics
5 Proceedings of the Japan Academy. Series A
5 Science in China. Series A
4 Communications in Mathematical Physics
4 Indian Journal of Pure & Applied Mathematics
4 Annales de l’Institut Fourier
4 Archiv der Mathematik
4 Illinois Journal of Mathematics
4 Integral Equations and Operator Theory
4 Inventiones Mathematicae
4 Annales Academiae Scientiarum Fennicae. Mathematica
3 Arkiv för Matematik
3 Bulletin de la Société Mathématique de France
3 Journal of Soviet Mathematics
3 Nagoya Mathematical Journal
3 Results in Mathematics
3 Topology and its Applications
3 Bulletin of the Korean Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Acta Mathematica Sinica. New Series
3 Acta Mathematica Sinica. English Series
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Mathematics of Computation
2 Acta Mathematica
2 Applied Mathematics and Computation
2 Bulletin of the London Mathematical Society
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of the London Mathematical Society. Second Series
2 Journal of Number Theory
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Siberian Mathematical Journal
2 Acta Mathematica Hungarica
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 International Journal of Mathematics
2 Geometric and Functional Analysis. GAFA
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Advances in Computational Mathematics
2 Discrete and Continuous Dynamical Systems
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the American Mathematical Society
2 Journal of Modern Dynamics
2 Science China. Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Analysis and Mathematical Physics
2 Journal of Function Spaces
1 Computers & Mathematics with Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 Acta Arithmetica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Collectanea Mathematica
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Acta Applicandae Mathematicae
1 Journal of Symbolic Computation
...and 37 more Serials

Citations by Year

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