On normality of meromorphic functions with multiple zeros and sharing values

Authors : You-ming Wang

Pages : 263-271

View : 13 | Download : 5

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :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 \subseteq C and n be a positive integer. Let a, b be two finite complex constants such that a \neq 0. If n \geq 3 and f + a(f')n and g + a(g')n share b in D for every pair of functions f, g \in F, then F is normal in D. And some examples are provided to show the result is sharp.
Keywords : Meromorphic functions, shared value, normal family