Partial sharing of a set of meromorphic functions and normality

Year 2016, Volume: 4 Issue: 2, 220 - 226, 01.03.2016

Virender Singh Banarsi Lal K.s. Charak Shittal Sharma

Abstract

By using the idea of partial sharing of a set of meromorphic functions by a member of a family of meromorphic functions  and its kth derivative we obtain a normality criterion generalizing some of the earlier results on shared sets and normal families of  meromorphic functions. Further we prove a normality criterion which improves Marty’s theorem and its reverse counterpart.

Keywords

Normal families, meromorphic function, partial sharing of sets, spherical derivative

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