Abstract

In this paper, we investigate a new class of analytic functions defined by the convolution operator J s, b (f) involving the Hurwitz–Lerch Zeta function, which was introduced recently by H. M. Srivastava and A. A. Attiya [Integral Transforms and Special Functions, 18, 2007, 207–216]. Coefficient inequalities, distortion theorems and other properties of functions belonging to this class are derived. We also indicate briefly the relevant connections of some of the results presented here with those that were proven in earlier investigations.

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