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Partial sharing of a set of meromorphic functions and normality

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 2)

Publication Date:

Authors : ; ;

Page : 220-226

Keywords : Normal families meromorphic function partial sharing of sets spherical derivative Nevanlinna theory.;

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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 $k$th 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.

Last modified: 2016-10-30 05:09:52