Normality criteria of meromorphic functions with multiple zeros |
| |
Authors: | Pei-Chu Hu |
| |
Affiliation: | Department of Mathematics, Shandong University, Jinan 250100, Shandong, PR China |
| |
Abstract: | Take positive integers n,k?2. Let F be a family of meromorphic functions in a domain D⊂C such that each f∈F has only zeros of multiplicity at least k. If, for each pair (f,g) in F, fn(f(k)) and gn(g(k)) share a non-zero complex number a ignoring multiplicity, then F is normal in D. |
| |
Keywords: | Meromorphic functions Normal family Sharing values |
本文献已被 ScienceDirect 等数据库收录! |
|