Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

Srivastava, H. M.; Gaboury, S.; Ghanim, F.

doi:10.7603/s40956-015-0003-8

Abstract

In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*_a,s (A. B, α, β) and ΣK_a,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*. We further investigate the ratio of a function related to the Hurwitz-Lerch zeta function and its sequence of partial sums.

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Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

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