Exceptional sets for entire functions. (English) Zbl 0532.30027
Contemp. Math. 25, 89-100 (1983).
The paper under review is concerned with Picard sets of entire functions: A point set E of the complex plane is a Picard set for entire functions if each entire function takes all values with at most one exception outside E. In the present paper two criteria are proved which show that denumerable point sets are Picard sets of entire functions. It should be mentioned that these criteria are already contained in results given by S. Toppila and the reviewer [for example see S. Toppila, Ann. Acad. Sci. Fenn., Ser. A I 1, 111-123 (1975; Zbl 0338.30023) and the reviewer, Math. Z. 109, 191-204 (1969; Zbl 0172.369)].
For the entire collection see [Zbl 0516.00015].
For the entire collection see [Zbl 0516.00015].
Reviewer: J.Winkler
MSC:
30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
30D30 | Meromorphic functions of one complex variable (general theory) |
30D20 | Entire functions of one complex variable (general theory) |