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A new class of generalized close-to-starlike functions defined by the Srivastava-Attiya operator

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Abstract

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 J s,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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3R4, Canada

    H. M. Srivastava

  2. Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu 50, R-500091, Braşov, Romania

    Dorina Răducanu

  3. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Mihail Kogălniceanu 1, R-400084, Cluj-Napoca, Romania

    Grigore S. Sălăgean

Authors
  1. H. M. Srivastava
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  2. Dorina Răducanu
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  3. Grigore S. Sălăgean
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Correspondence to H. M. Srivastava.

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Srivastava, H.M., Răducanu, D. & Sălăgean, G.S. A new class of generalized close-to-starlike functions defined by the Srivastava-Attiya operator. Acta. Math. Sin.-English Ser. 29, 833–840 (2013). https://doi.org/10.1007/s10114-013-2462-z

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