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

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 ΣKa,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.

Keywords

• analytic functions
• partial sums
• meromorphic functions
• integral operators
• meromorphic starlike functions
• meromorphic convex functions
• meromorphic closeto- convex functions
• hurwitz-lerch zeta function
• hadamard product