On a Theorem of Schwick
Complex Variables
2024-02-20 v2
Abstract
Let D be a domain, n, k be positive integers and n >= K+3. Let F be a family of functions meromorphic in D. If each f in F satisfies (f^n)^(k) not equal to 1 for z in D, then F is normal family. This result was proved by Schwick. In this paper we extend this result.
Keywords
Cite
@article{arxiv.1403.1447,
title = {On a Theorem of Schwick},
author = {Gopal Datt and Sanjay Kumar},
journal= {arXiv preprint arXiv:1403.1447},
year = {2024}
}
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