Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0909-37
Keywords
Meromorphic functions, shared value, normal family
First Page
263
Last Page
271
Recommended Citation
WANG, Y (2012). On normality of meromorphic functions with multiple zeros and sharing values. Turkish Journal of Mathematics 36 (2): 263-271. https://doi.org/10.3906/mat-0909-37
