Turkish Journal of Mathematics
DOI
10.3906/mat-0909-37
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
First Page
263
Last Page
271
Recommended Citation
WANG, YOUMING
(2012)
"On normality of meromorphic functions with multiple zeros and sharing values,"
Turkish Journal of Mathematics: Vol. 36:
No.
2, Article 7.
https://doi.org/10.3906/mat-0909-37
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss2/7
