A new class of generalized close-to-starlike functions defined by the Srivastava-Attiya operator
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In this paper, we consider a new class CSs,b* of generalized close-to-starlike functions, which is defined by means of the Srivastava-Attiya operator Js,b involving the Hurwitz-Lerch Zeta function Φ(z, s, a). Basic results such as inclusion relations, coefficient inequalities and other interesting properties of this class are investigated. Relevant connections of some of the results presented here with those that were obtained in earlier investigations are pointed out briefly.
KeywordsAnalytic functions starlike functions convex functions close-to-starlike functions Srivastava-Attiya operator inclusion results coefficient bounds coefficient inequalities hadamard product (or convolution)
MR(2010) Subject Classification30C10 30C45 11M35
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