Normality and fixpoints of analytic functions

被引:7
作者
Hinchliffe, JD [1 ]
机构
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
关键词
D O I
10.1017/S0308210500002961
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let D be a domain in C and let f be a transcendental meromorphic function on C such that C* \ f(C) = theta, {infinity} or {alpha,beta}, where alpha and beta are two distinct values in C* = C boolean OR {infinity}. Then the family of functions g that are analytic on D and such that f omicron g has no fixpoints on D is normal.
引用
收藏
页码:1335 / 1339
页数:5
相关论文
共 12 条
[1]  
Ahlfors LV., 1978, COMPLEX ANAL
[3]   PROOF OF A CONJECTURE OF GROSS CONCERNING FIX-POINTS [J].
BERGWEILER, W .
MATHEMATISCHE ZEITSCHRIFT, 1990, 204 (03) :381-390
[4]   A new proof of the Ahlfors five islands theorem [J].
Bergweiler, W .
JOURNAL D ANALYSE MATHEMATIQUE, 1998, 76 (1) :337-347
[5]  
Fang M. L., 2001, INDIAN J MATH, V43, P341
[6]   FIX-POINTS AND FACTORIZATION OF MEROMORPHIC FUNCTIONS [J].
GROSS, F ;
YANG, CC .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 168 (JUN) :211-&
[7]   ON FIXED-POINTS OF COMPOSITE MEROMORPHIC FUNCTIONS [J].
GROSS, F ;
OSGOOD, CF .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) :490-496
[8]  
HAYMAN WK, 1964, MEROMORPHIC FUNCTION
[9]  
Rosenbloom P. C., 1952, MEDD LUNDS U MATH SE, P187
[10]  
Schiff J.L., 1993, Normal Families