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Baker, Irvine Noel (b. 1932 d. 2001)

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 · IdRef
Documents Indexed: 73 Publications since 1955
Reviewing Activity: 136 Reviews
Biographic References: 1 Publication
Co-Authors: 21 Co-Authors with 34 Joint Publications
336 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 1,074 times in 582 Documents Cited by Year
Wandering domains in the iteration of entire functions. Zbl 0523.30017
Baker, I. N.
90
1984
The domains of normality of an entire function. Zbl 0329.30019
Baker, I. N.
65
1975
Iterates of meromorphic functions. IV: Critically finite functions. Zbl 0774.30024
Baker, I. N.; Kotus, J.; Lü, Yinian
59
1992
Zusammensetzungen ganzer Funktionen. Zbl 0178.07502
Baker, Irvine Noel
50
1958
An entire function which has wandering domains. Zbl 0335.30001
Baker, I. N.
48
1976
Repulsive fixpoints of entire functions. Zbl 0172.09502
Baker, I. N.
46
1968
Iterates of meromorphic functions. III: Preperiodic domains. Zbl 0774.30023
Baker, I. N.; Kotus, J.; Lü, Yinian
43
1991
Iterates of meromorphic functions. I. Zbl 0711.30024
Baker, I. N.; Kotus, J.; Yinian, Lü
42
1991
Iteration of exponential functions. Zbl 0558.30029
Baker, I. N.; Rippon, P. J.
37
1984
Fixpoints of polynomials and rational functions. Zbl 0138.05503
Baker, I. N.
35
1964
Iterates of meromorphic functions. II: Examples of wandering domains. Zbl 0726.30022
Baker, I. N.; Kotus, J.; Lü, Yinian
32
1990
The iteration of polynomials and transcendental entire functions. Zbl 0474.30023
Baker, I. N.
31
1981
On the iteration of analytic functions in a half-plane II. Zbl 0419.30025
Baker, I. N.; Pommerenke, Ch.
28
1979
On a class of meromorphic functions. Zbl 0161.35203
Baker, I. N.
28
1966
Sets of non-normality in iteration theory. Zbl 0136.37804
Baker, I. N.
24
1965
Wandering domains for maps of the punctered plane. Zbl 0606.30029
Baker, I. N.
23
1987
A problem of Julia sets. Zbl 0606.30030
Baker, I. N.; Eremenko, A.
23
1987
Permutable power series and regular iteration. Zbl 0113.28302
Baker, I. N.
23
1962
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
Dynamics of functions meromorphic outside a small set. Zbl 0990.37033
Baker, I. N.; Domínguez, P.; Herring, M. E.
15
2001
Multiply connected domains of normality in iteration theory. Zbl 0107.06203
Baker, Irvine Noel
15
1963
The existence of fixpoints of entire functions. Zbl 0129.29102
Baker, Irvine Noel
15
1960
Infinite limits in the iteration of entire functions. Zbl 0642.30021
Baker, I. N.
14
1988
A theorem on entire functions with applications to Toeplitz operators. Zbl 0296.30020
Baker, I. N.; Deddens, James A.; Ullman, J. L.
14
1974
Some entire functions with multiply-connected wandering domains. Zbl 0545.30014
Baker, I. N.
13
1985
Towers of exponents and other composite maps. Zbl 0644.30014
Baker, I. N.; Rippon, P. J.
12
1989
Boundaries of unbounded Fatou components of entire functions. Zbl 0935.30020
Baker, I. N.; Domínguez, P.
12
1999
Permutable entire functions. Zbl 0107.28301
Baker, Irvine Noel
12
1962
On factorizing entire functions. Zbl 0159.10002
Baker, I. N.; Gross, F.
12
1968
Some connectedness properties of Julia sets. Zbl 1020.30027
Baker, I. N.; Domínguez, P.
11
2000
Further results on factorization of entire function. Zbl 0177.10402
Baker, I. N.; Gross, F.
11
1968
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
Convergence of infinite exponentials. Zbl 0503.30022
Baker, I. N.; Rippon, P. J.
9
1983
Wandering domains in the iteration of compositions of entire functions. Zbl 0821.30019
Baker, I. N.; Singh, Anand P.
9
1995
Fixpoint and iterates of entire functions. Zbl 0168.04002
Baker, I. N.
9
1959
Completely invariant domains of entire functions. Zbl 0208.34004
Baker, I. N.
9
1970
Boundaries which arise in the dynamics of entire functions. Zbl 0756.30021
Baker, I. N.; Weinreich, J.
8
1991
Iteration of entire functions: An introductory survey. Zbl 0746.30003
Baker, I. N.
8
1988
On compositions of analytic self-mappings of a convex domain. Zbl 0715.30022
Baker, I. N.; Rippon, P. J.
8
1990
Entire functions with linearly distributed values. Zbl 0136.37805
Baker, Irvine Noel
8
1964
On some results of A. Renyi and C. Renyi concerning periodic entire functions. Zbl 0147.06702
Baker, I. N.
7
1966
A note on complex iteration. Zbl 0605.30027
Baker, I. N.; Rippon, P. J.
6
1985
Non-embeddable functions with a fixpoint of multiplier 1. Zbl 0162.10103
Baker, I. N.
6
1967
Analytic self-maps of the punctured plane. Zbl 0952.30023
Baker, I. N.; Domínguez, P.
6
1998
Residual Julia sets. Zbl 0977.30014
Baker, I. N.; Domínguez, P.
5
2000
The distribution of values of certain entire and meromorphic functions. Zbl 0473.30023
Anderson, James M.; Baker, Irvine N.; Clunie, James G.
5
1981
The value distribution of composite entire functions. Zbl 0214.08501
Baker, I. N.
5
1971
Some entire functions with fixpoints of every order. Zbl 0129.29103
Baker, I. N.
4
1960
The distribution of fixpoints of entire functions. Zbl 0168.04101
Baker, I. N.
4
1966
Dynamics of slowly growing entire functions. Zbl 1108.37036
Baker, I. N.
3
2001
Limit functions in wandering domains of meromorphic functions. Zbl 1019.37027
Baker, I. N.
3
2002
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
Error estimates in a calculation of Ruelle. Zbl 0844.30018
Baker, I. N.; Stallard, G. M.
2
1996
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 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
Analytic mappings between two ultrahyperelliptic surfaces. Zbl 0328.30004
Baker, I. N.
1
1976
Solutions of the functional equation \((f(x))^2 - f(x^2) = h(x)\). Zbl 0096.32201
Baker, I. N.
1
1960
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
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.
3
2002
Dynamics of functions meromorphic outside a small set. Zbl 0990.37033
Baker, I. N.; Domínguez, P.; Herring, M. E.
15
2001
Dynamics of slowly growing entire functions. Zbl 1108.37036
Baker, I. N.
3
2001
Some connectedness properties of Julia sets. Zbl 1020.30027
Baker, I. N.; Domínguez, P.
11
2000
Residual Julia sets. Zbl 0977.30014
Baker, I. N.; Domínguez, P.
5
2000
Boundaries of unbounded Fatou components of entire functions. Zbl 0935.30020
Baker, I. N.; Domínguez, P.
12
1999
Analytic self-maps of the punctured plane. Zbl 0952.30023
Baker, I. N.; Domínguez, P.
6
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.
2
1996
Wandering domains in the iteration of compositions of entire functions. Zbl 0821.30019
Baker, I. N.; Singh, Anand P.
9
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
59
1992
Iterates of meromorphic functions. III: Preperiodic domains. Zbl 0774.30023
Baker, I. N.; Kotus, J.; Lü, Yinian
43
1991
Iterates of meromorphic functions. I. Zbl 0711.30024
Baker, I. N.; Kotus, J.; Yinian, Lü
42
1991
Boundaries which arise in the dynamics of entire functions. Zbl 0756.30021
Baker, I. N.; Weinreich, J.
8
1991
Iterates of meromorphic functions. II: Examples of wandering domains. Zbl 0726.30022
Baker, I. N.; Kotus, J.; Lü, Yinian
32
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.
12
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.
14
1988
Iteration of entire functions: An introductory survey. Zbl 0746.30003
Baker, I. N.
8
1988
Wandering domains for maps of the punctered plane. Zbl 0606.30029
Baker, I. N.
23
1987
A problem of Julia sets. Zbl 0606.30030
Baker, I. N.; Eremenko, A.
23
1987
Some entire functions with multiply-connected wandering domains. Zbl 0545.30014
Baker, I. N.
13
1985
A note on complex iteration. Zbl 0605.30027
Baker, I. N.; Rippon, P. J.
6
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.
90
1984
Iteration of exponential functions. Zbl 0558.30029
Baker, I. N.; Rippon, P. J.
37
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.
9
1983
The iteration of polynomials and transcendental entire functions. Zbl 0474.30023
Baker, I. N.
31
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.
28
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.
48
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.
65
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.
9
1970
Repulsive fixpoints of entire functions. Zbl 0172.09502
Baker, I. N.
46
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.
11
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.
28
1966
On some results of A. Renyi and C. Renyi concerning periodic entire functions. Zbl 0147.06702
Baker, I. N.
7
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.
24
1965
Fixpoints of polynomials and rational functions. Zbl 0138.05503
Baker, I. N.
35
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
15
1963
Permutable power series and regular iteration. Zbl 0113.28302
Baker, I. N.
23
1962
Permutable entire functions. Zbl 0107.28301
Baker, Irvine Noel
12
1962
The existence of fixpoints of entire functions. Zbl 0129.29102
Baker, Irvine Noel
15
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
50
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 473 Authors

31 Bergweiler, Walter
20 Rippon, Philip Jonathan
20 Stallard, Gwyneth Mary
18 Baker, Irvine Noel
16 Fagella, Núria
16 Rempe-Gillen, Lasse
15 Sixsmith, David Jonathan
15 Yang, Chung-Chun
13 Kotus, Janina
13 Wang, Yuefei
10 Jarque, Xavier
10 Zheng, Jianhua
8 Evdoridou, Vasiliki
8 Koss, Lorelei
8 Ozawa, Mitsuru
7 Barański, Krzysztof
7 Benini, Anna Miriam
7 Keen, Linda
6 Arosio, Leandro
6 Devaney, Robert L.
6 Domínguez, Patricia
6 Eremenko, Alexandre Émmanuilovich
6 Gross, Fred
6 Hawkins, Jane M.
6 Huang, Hansong
6 Lu, Feng
6 Nayak, Tarakanta
6 Sienra, Guillermo J. F.
6 Wang, Jun
5 Bracci, Filippo
5 Chang, Jianming
5 Guo, Kunyu
5 Huang, Zhigang
5 Kannan, V.
5 Karpińska, Bogusława
5 Korhonen, Risto
5 Liu, Kai
5 Liu, Xiaohua
5 Nicks, Daniel A.
5 Osborne, John W.
5 Schleicher, Dierk
5 Urbański, Mariusz
5 Wang, Xiaoling
5 Zhang, Guowei
5 Zhang, Weinian
4 Ali Akbar, Kamaludheen
4 Cao, Chunlei
4 Contreras, Manuel D.
4 Dan, Hui
4 Fang, Mingliang
4 Goldberg, Lisa Robin
4 Hua, Xinhou
4 Lazebnik, Kirill Y.
4 Martí-Pete, David
4 Pommerenke, Christian
4 Tomar, Garima
4 Vaillancourt, Rémi
4 Yang, Lianzhong
4 Yao, Xiao
3 Ahern, Patrick B.
3 Beardon, Alan Frank
3 Bishop, Christopher James
3 Boc Thaler, Luka
3 Canela, Jordi
3 Chakra, Tarun Kumar
3 Chen, Tao
3 Chen, Wei
3 Cowen, Carl C.
3 Díaz-Madrigal, Santiago
3 Ferreira, Gustavo Rodrigues
3 Garijo, Antonio
3 Han, Qi
3 Hinkkanen, Aimo
3 Hu, Peichu
3 Hubbard, John Hamal
3 Kisaka, Masashi
3 Kumar, Dinesh Kant
3 Levin, Genadi M.
3 Li, Yezhou
3 Liao, Liangwen
3 Liu, Xinling
3 Pal, Ratna
3 Pant, Sanjay Kumar
3 Poggi-Corradini, Pietro
3 Saleeby, Elias George
3 Shoikhet, David
3 Short, Ian
3 Singh, Anand Prakash
3 Urabe, Hironobu
3 Wang, Qiong
3 Ye, Hexi
3 Zalcman, Lawrence Allen
3 Zhan, Guoping
2 Abrahamse, M. B.
2 Ahamed, Molla Basir
2 Aschenbrenner, Matthias
2 Banerjee, Dibyendu
2 Bargmann, Detlef
2 Barnard, Roger W.
2 Bera, Sayani
...and 373 more Authors
all top 5

Cited in 154 Serials

40 Journal of Mathematical Analysis and Applications
31 Proceedings of the American Mathematical Society
29 Transactions of the American Mathematical Society
23 Ergodic Theory and Dynamical Systems
22 Journal d’Analyse Mathématique
22 Computational Methods and Function Theory
20 Mathematische Zeitschrift
17 Aequationes Mathematicae
15 Mathematical Proceedings of the Cambridge Philosophical Society
15 Conformal Geometry and Dynamics
9 Kodai Mathematical Journal
9 Kodai Mathematical Seminar Reports
8 Bulletin of the Australian Mathematical Society
8 Tôhoku Mathematical Journal. Second Series
8 Journal of Difference Equations and Applications
8 Journal of the Australian Mathematical Society
7 Advances in Mathematics
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Complex Variables and Elliptic Equations
6 Israel Journal of Mathematics
5 Indian Journal of Pure & Applied Mathematics
5 Annales de l’Institut Fourier
5 Illinois Journal of Mathematics
5 Proceedings of the Japan Academy. Series A
5 Science in China. Series A
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Arnold Mathematical Journal
4 Communications in Mathematical Physics
4 Archiv der Mathematik
4 Integral Equations and Operator Theory
4 Inventiones Mathematicae
4 Journal of the London Mathematical Society. Second Series
4 Mathematische Annalen
4 Results in Mathematics
4 Bulletin of the Korean Mathematical Society
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Analysis and Mathematical Physics
3 Arkiv för Matematik
3 Bulletin of the London Mathematical Society
3 Bulletin de la Société Mathématique de France
3 Journal of Soviet Mathematics
3 Nagoya Mathematical Journal
3 Topology and its Applications
3 Revista Matemática Iberoamericana
3 Journal of the American Mathematical Society
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
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 Discrete and Continuous Dynamical Systems
3 Acta Mathematica Sinica. English Series
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Modern Dynamics
3 Science China. Mathematics
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Mathematics of Computation
2 Acta Mathematica
2 Annales Polonici Mathematici
2 Applied Mathematics and Computation
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Number Theory
2 Journal für die Reine und Angewandte Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Siberian Mathematical Journal
2 Acta Mathematica Hungarica
2 International Journal of Mathematics
2 IMRN. International Mathematics Research Notices
2 Geometric and Functional Analysis. GAFA
2 Journal of Dynamics and Differential Equations
2 New Zealand Journal of Mathematics
2 The Journal of Analysis
2 Advances in Computational Mathematics
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 South East Asian Journal of Mathematics and Mathematical Sciences
2 Mediterranean Journal of Mathematics
2 Bulletin of the American Mathematical Society
2 Journal of Function Spaces
2 Annales Fennici Mathematici
1 Analysis Mathematica
1 Computers & Mathematics with Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Nonlinearity
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 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Journal of Algebra
...and 54 more Serials

Citations by Year

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