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In the present paper, we give sufficient conditions for a function f to be in the subclasses $$ \sum S_{a,s}^*(A,\,B,\,\alpha ,\,\beta ) $$ and $$ \sum {\kappa _{a,\,s}}(A,\,B,\,\alpha ,\,\beta ) $$ 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.

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