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A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator 被引量:1

A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator
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摘要 In this paper, we consider a new class CS*s,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. In this paper, we consider a new class CS*s,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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第5期833-840,共8页 数学学报(英文版)
关键词 Analytic functions starlike functions convex functions close-to-starlike functions Srivastava-Attiya operator inclusion results coefficient bounds coefficient inequalities hadamard product (or convolution) Analytic functions, starlike functions, convex functions, close-to-starlike functions, Srivastava-Attiya operator, inclusion results, coefficient bounds, coefficient inequalities, hadamard product (or convolution)
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