×

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: 137 Reviews
Biographic References: 1 Publication
Co-Authors: 21 Co-Authors with 35 Joint Publications
384 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 1,155 times in 630 Documents Cited by Year
Wandering domains in the iteration of entire functions. Zbl 0523.30017
Baker, I. N.
101
1984
The domains of normality of an entire function. Zbl 0329.30019
Baker, I. N.
73
1975
Iterates of meromorphic functions. IV: Critically finite functions. Zbl 0774.30024
Baker, I. N.; Kotus, J.; Lü, Yinian
62
1992
An entire function which has wandering domains. Zbl 0335.30001
Baker, I. N.
52
1976
Zusammensetzungen ganzer Funktionen. Zbl 0178.07502
Baker, Irvine Noel
51
1958
Iterates of meromorphic functions. I. Zbl 0711.30024
Baker, I. N.; Kotus, J.; Lü, Yinian
46
1991
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
45
1991
On a class of meromorphic functions. Zbl 0161.35203
Baker, I. N.
42
1966
Iteration of exponential functions. Zbl 0558.30029
Baker, I. N.; Rippon, P. J.
38
1984
Fixpoints of polynomials and rational functions. Zbl 0138.05503
Baker, I. N.
37
1964
The iteration of polynomials and transcendental entire functions. Zbl 0474.30023
Baker, I. N.
34
1981
Iterates of meromorphic functions. II: Examples of wandering domains. Zbl 0726.30022
Baker, I. N.; Kotus, J.; Lü, Yinian
34
1990
On the iteration of analytic functions in a half-plane II. Zbl 0419.30025
Baker, I. N.; Pommerenke, Ch.
32
1979
Sets of non-normality in iteration theory. Zbl 0136.37804
Baker, I. N.
28
1965
Wandering domains for maps of the punctered plane. Zbl 0606.30029
Baker, I. N.
24
1987
A problem of Julia sets. Zbl 0606.30030
Baker, I. N.; Eremenko, A.
24
1987
Permutable power series and regular iteration. Zbl 0113.28302
Baker, I. N.
24
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.
19
1964
Multiply connected domains of normality in iteration theory. Zbl 0107.06203
Baker, Irvine Noel
16
1963
Infinite limits in the iteration of entire functions. Zbl 0642.30021
Baker, I. N.
15
1988
Dynamics of functions meromorphic outside a small set. Zbl 0990.37033
Baker, I. N.; Domínguez, P.; Herring, M. E.
15
2001
The existence of fixpoints of entire functions. Zbl 0129.29102
Baker, Irvine Noel
15
1960
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.
14
1985
Towers of exponents and other composite maps. Zbl 0644.30014
Baker, I. N.; Rippon, P. J.
12
1989
Completely invariant domains of entire functions. Zbl 0208.34004
Baker, I. N.
12
1970
Permutable entire functions. Zbl 0107.28301
Baker, Irvine Noel
12
1962
On factorizing entire functions. Zbl 0159.10002
Baker, I. N.; Gross, Fred
12
1968
Boundaries of unbounded Fatou components of entire functions. Zbl 0935.30020
Baker, I. N.; Domínguez, P.
12
1999
Further results on factorization of entire function. Zbl 0177.10402
Baker, I. N.; Gross, F.
11
1968
Some connectedness properties of Julia sets. Zbl 1020.30027
Baker, I. N.; Domínguez, P.
11
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
Iteration of entire functions: An introductory survey. Zbl 0746.30003
Baker, I. N.
9
1988
Convergence of infinite exponentials. Zbl 0503.30022
Baker, I. N.; Rippon, P. J.
9
1983
Fixpoint and iterates of entire functions. Zbl 0168.04002
Baker, I. N.
9
1959
On some results of A. Renyi and C. Renyi concerning periodic entire functions. Zbl 0147.06702
Baker, I. N.
9
1966
Wandering domains in the iteration of compositions of entire functions. Zbl 0821.30019
Baker, I. N.; Singh, Anand P.
9
1995
Boundaries which arise in the dynamics of entire functions. Zbl 0756.30021
Baker, I. N.; Weinreich, J.
8
1991
On compositions of analytic self-mappings of a convex domain. Zbl 0715.30022
Baker, I. N.; Rippon, P. J.
8
1990
Analytic self-maps of the punctured plane. Zbl 0952.30023
Baker, I. N.; Domínguez, P.
8
1998
Entire functions with linearly distributed values. Zbl 0136.37805
Baker, Irvine Noel
8
1964
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
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
Residual Julia sets. Zbl 0977.30014
Baker, I. N.; Domínguez, P.
5
2000
The distribution of fixpoints of entire functions. Zbl 0168.04101
Baker, I. N.
4
1966
Some entire functions with fixpoints of every order. Zbl 0129.29103
Baker, I. N.
4
1960
Iterating exponential functions with cyclic exponents. Zbl 0705.33001
Baker, I. N.; Rippon, P. J.
3
1989
Functions meromorphic outside a small set: completely invariant domains. Zbl 1052.37035
Baker, I. N.; Domínguez, P.; Herring, M. E.
3
2004
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
A note on infinite exponentials. Zbl 0563.40001
Baker, I. N.; Rippon, P. J.
2
1985
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
An infinite order periodic entire function which is prime. Zbl 0374.30004
Baker, I. N.; Yang, Chung-Chun
2
1977
Analytic mappings between two ultrahyperelliptic surfaces. Zbl 0328.30004
Baker, I. N.
1
1976
Entire functions with two linearly distributed values. Zbl 0457.30024
Baker, I. N.
1
1980
On a class of non-embeddable entire functions. Zbl 0667.30021
Baker, I. N.; Bhattacharyya, P.
1
1988
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
The entire solutions of a polynomial difference equation. Zbl 0557.30003
Baker, I. N.; Liverpool, L. S. O.
1
1984
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.
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.
8
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
62
1992
Iterates of meromorphic functions. I. Zbl 0711.30024
Baker, I. N.; Kotus, J.; Lü, Yinian
46
1991
Iterates of meromorphic functions. III: Preperiodic domains. Zbl 0774.30023
Baker, I. N.; Kotus, J.; Lü, Yinian
45
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
34
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.
3
1989
Infinite limits in the iteration of entire functions. Zbl 0642.30021
Baker, I. N.
15
1988
Iteration of entire functions: An introductory survey. Zbl 0746.30003
Baker, I. N.
9
1988
On a class of non-embeddable entire functions. Zbl 0667.30021
Baker, I. N.; Bhattacharyya, P.
1
1988
Wandering domains for maps of the punctered plane. Zbl 0606.30029
Baker, I. N.
24
1987
A problem of Julia sets. Zbl 0606.30030
Baker, I. N.; Eremenko, A.
24
1987
Some entire functions with multiply-connected wandering domains. Zbl 0545.30014
Baker, I. N.
14
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.
2
1985
Wandering domains in the iteration of entire functions. Zbl 0523.30017
Baker, I. N.
101
1984
Iteration of exponential functions. Zbl 0558.30029
Baker, I. N.; Rippon, P. J.
38
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.
34
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.
32
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.
52
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.
73
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.
12
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, Fred
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.
42
1966
On some results of A. Renyi and C. Renyi concerning periodic entire functions. Zbl 0147.06702
Baker, I. N.
9
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.
28
1965
Fixpoints of polynomials and rational functions. Zbl 0138.05503
Baker, I. N.
37
1964
Fractional iteration near a fixpoint of multiplier 1. Zbl 0134.05402
Baker, I. N.
19
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
16
1963
Permutable power series and regular iteration. Zbl 0113.28302
Baker, I. N.
24
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
51
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 503 Authors

31 Bergweiler, Walter
21 Rippon, Philip Jonathan
21 Stallard, Gwyneth Mary
18 Baker, Irvine Noel
16 Fagella, Núria
16 Rempe-Gillen, Lasse
16 Sixsmith, David Jonathan
15 Wang, Yuefei
15 Yang, Chung-Chun
13 Kotus, Janina
10 Jarque, Xavier
10 Zheng, Jianhua
9 Koss, Lorelei
9 Liu, Kai
8 Evdoridou, Vasiliki
8 Hawkins, Jane M.
8 Keen, Linda
8 Ozawa, Mitsuru
7 Arosio, Leandro
7 Barański, Krzysztof
7 Benini, Anna Miriam
7 Bracci, Filippo
7 Korhonen, Risto
7 Lu, Feng
7 Nicks, Daniel A.
6 Cao, Chunlei
6 Devaney, Robert L.
6 Domínguez, Patricia
6 Eremenko, Alexandre
6 Gross, Fred
6 Huang, Hansong
6 Huang, Zhigang
6 Liu, Xiaohua
6 Nayak, Tarakanta
6 Sienra, Guillermo J. F.
6 Wang, Jun
6 Zhang, Weinian
5 Ahamed, Molla Basir
5 Chang, Jianming
5 Guo, Kunyu
5 Kannan, V.
5 Karpińska, Bogusława
5 Li, Yezhou
5 Osborne, John W.
5 Schleicher, Dierk
5 Urbański, Mariusz
5 Wang, Xiaoling
5 Yang, Lianzhong
5 Zhang, Guowei
4 Ali Akbar, Kamaludheen
4 Chakraborty, Gorachand
4 Chen, Tao
4 Chen, Wei
4 Contreras, Manuel D.
4 Dan, Hui
4 Fang, Mingliang
4 Ferreira, Gustavo Rodrigues
4 Goldberg, Lisa Robin
4 Hua, Xinhou
4 Lazebnik, Kirill Y.
4 Liao, Liangwen
4 Martí-Pete, David
4 Pommerenke, Christian
4 Tomar, Garima
4 Vaillancourt, Rémi
4 Wang, Qiong
4 Yao, Xiao
4 Zhang, Yueyang
3 Ahern, Patrick B.
3 Beardon, Alan Frank
3 Bishop, Christopher James
3 Boc Thaler, Luka
3 Canela, Jordi
3 Chakra, Tarun Kumar
3 Chatterjee, Subham
3 Cowen, Carl C.
3 Deng, Bingmao
3 Díaz-Madrigal, Santiago
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 Liu, Liu
3 Liu, Xinling
3 Llibre, Jaume
3 Lü, Yinian
3 Majee, Soumyadip
3 Moreno Rocha, Mónica
3 Pakovich, Fedor
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
...and 403 more Authors
all top 5

Cited in 164 Serials

42 Journal of Mathematical Analysis and Applications
31 Proceedings of the American Mathematical Society
29 Transactions of the American Mathematical Society
25 Computational Methods and Function Theory
24 Ergodic Theory and Dynamical Systems
23 Journal d’Analyse Mathématique
20 Mathematische Zeitschrift
18 Aequationes Mathematicae
16 Conformal Geometry and Dynamics
15 Mathematical Proceedings of the Cambridge Philosophical Society
9 Kodai Mathematical Journal
9 Journal of Difference Equations and Applications
9 Journal of the Australian Mathematical Society
9 Kodai Mathematical Seminar Reports
8 Bulletin of the Australian Mathematical Society
8 Tôhoku Mathematical Journal. Second Series
7 Advances in Mathematics
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Complex Variables and Elliptic Equations
7 Analysis and Mathematical Physics
6 Indian Journal of Pure & Applied Mathematics
6 Israel Journal of Mathematics
6 Annales de l’Institut Fourier
6 Acta Mathematica Scientia. Series B. (English Edition)
5 Communications in Mathematical Physics
5 Illinois Journal of Mathematics
5 Proceedings of the Japan Academy. Series A
5 Bulletin of the Korean Mathematical Society
5 Science in China. Series A
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Arnold Mathematical Journal
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 The Journal of Analysis
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Ukrainian Mathematical Journal
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 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 Journal of Dynamics and Differential Equations
3 Acta Mathematica Sinica. English Series
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mediterranean Journal of Mathematics
3 Complex Analysis and Operator Theory
3 Journal of Modern Dynamics
3 Science China. Mathematics
3 Annales Fennici Mathematici
2 Analysis Mathematica
2 Houston Journal of Mathematics
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Polonici Mathematici
2 Applied Mathematics and Computation
2 Demonstratio Mathematica
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 Proceedings of the London Mathematical Society. Third Series
2 Siberian Mathematical Journal
2 Acta Mathematica Hungarica
2 Constructive Approximation
2 International Journal of Mathematics
2 IMRN. International Mathematics Research Notices
2 The Journal of Geometric Analysis
2 Geometric and Functional Analysis. GAFA
2 New Zealand Journal of 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 South East Asian Journal of Mathematics and Mathematical Sciences
2 Bulletin of the American Mathematical Society
2 Acta Mathematica Sinica. Chinese Series
2 Journal of Function Spaces
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
...and 64 more Serials

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.