Acta Mathematica Sinica, English Series

, Volume 29, Issue 5, pp 833–840

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

Authors

    • Department of Mathematics and StatisticsUniversity of Victoria
  • Dorina Răducanu
    • Faculty of Mathematics and Computer ScienceTransilvania University of Braşov
  • Grigore S. Sălăgean
    • Faculty of Mathematics and Computer ScienceBabeş-Bolyai University
Article

DOI: 10.1007/s10114-013-2462-z

Cite this article as:
Srivastava, H.M., Răducanu, D. & Sălăgean, G.S. Acta. Math. Sin.-English Ser. (2013) 29: 833. doi:10.1007/s10114-013-2462-z

Abstract

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.

Keywords

Analytic functionsstarlike functionsconvex functionsclose-to-starlike functionsSrivastava-Attiya operatorinclusion resultscoefficient boundscoefficient inequalitieshadamard product (or convolution)

MR(2010) Subject Classification

30C1030C4511M35

Supplementary material

10114_2013_2462_MOESM1_ESM.tex (22 kb)
Supplementary material, approximately 21.9 KB.

Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2013