Partial sharing of a set of meromorphic functions and normality
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 2)Publication Date: 2016-03-01
Authors : Virender Singh; Banarsiverma Lal;
Page : 220-226
Keywords : Normal families meromorphic function partial sharing of sets spherical derivative Nevanlinna theory.;
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.
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Last modified: 2016-10-30 05:09:52