Open AccessOn normality of meromorphic functions with multiple zeros and sharing values
Author(s) -
Youming Wang
Publication year - 2012
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-0909-37
Subject(s) - meromorphic function , mathematics , normality , normal family , complex plane , integer (computer science) , domain (mathematical analysis) , combinatorics , plane (geometry) , pure mathematics , discrete mathematics , mathematical analysis , geometry , statistics , computer science , programming language
doi:10.3906/mat-0909-37 On normality of meromorphic functions with multiple zeros and sharing values You-Ming Wang In this paper we study the problem of normal families of meromorphic functions concerning shared values. Let F be a family of meromorphic functions in the plane domain D ⊆ and n be a positive integer. Let a, b be two finite complex constants such that a = 0. If n ≥ 3 and f + a(f ′)n and g + a(g′)n share b in D for every pair of functions f, g ∈ F, then F is normal in D. And some examples are provided to show the result is sharp. Key words and phrases: Meromorphic functions, shared value, normal family. 1. Introduction an