|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
Book Information
Author(s):
Chi-tai Chuang
Title:
Normal families of meromorphic functions
Additional book information:
World Scientific, Singapore, 1993, xi+473 pp., US$68.00. ISBN 981-02-1257-7
Author(s):
Joel L. Schiff
Title:
Normal families
Additional book information:
Springer, New York, 1993, ix+236 pp., US$39.00. ISBN 0-387-97967-0
References:
- [1]
- Daniel S. Alexander, A history of complex dynamics\,\RM : From Schroder to Fatou and Julia, Vierweg, Braunschweig, 1994.
- [2]
- Walter Bergweiler and Alexandre Eremenko, On the singularities of the inverse to a meromorphic function of finite order, Rev. Mat. Iberoamericana.
- [3]
- W. Bergweiler and W. H. J. Fuchs, On the zeros of the second derivative of real entire functions, J. Anal. \textbf{1} (1993), 73--79.
- [4]
- A. Bloch, La conception actuelle de la th\'eorie des fonctions entier\'es et m\'eromorphes, Enseign. Math. \textbf{25} (1926), 83--103.
- [5]
- Y. Gu [Ku], A criterion for normality of families of meromorphic functions, Sci. Sinica \textbf{1~{\rm (special issue)}} (1979), 267--274 \afterall (Chinese).
- [6]
- W. K. Hayman, Research problems in function theory, Athlone Press, London, 1964.
- [7]
- E. Hille, Analytic function theory, Vol. \RM 2, Ginn, Boston, 1962.
- [8]
- S. Lang, Introduction to complex hyperbolic spaces, Springer, New York, 1987.
- [9]
- P. Montel, Le\c cons sur les familles normales de fonctions analytiques et leurs applications, Gauthier-Villars, Paris, 1927.
- [10]
- I. B. Oshkin, On a test of normality of families of analytic families, Math. Surveys \textbf{37} (1982), 237--238.
- [11]
- Xue-Cheng Pang, Bloch\RM 's principle and normal criterion, Sci. China Ser. A \textbf{32} (1989), 782--791.
- [12]
- Xue-Cheng Pang, On normal criterion of meromorphic functions, Sci. China Ser. A \textbf{33} (1990), 521--527.
- [13]
- W. Schwick, Normality criteria for families of meromorphic functions, J. Anal. Math. \textbf{52} (1989), 241--289.
- [14]
- W. Schwick, Repelling periodic points in the Julia set, Bull. London. Math. Soc.
- [15]
- L. Zalcman, A heuristic principle in complex function theory, Amer. Math. Monthly \textbf{82} (1975), 813--817.
- [16]
- L. Zalcman, Normal families revisited, Complex Analysis and Related Topics (J. J. O. O. Wiegerinck, ed.), Univ. of Amsterdam, Amsterdam, 1993, pp.~149--164.
Additional Information:
Reviewer(s):
David
Drasin
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
257-261.
DOI:
10.1090/S0273-0979-1995-00573-2
PII:
S 0273-0979(1995)00573-2
|
Comments: webmaster@ams.org