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

  • H. M. Srivastava
  • Dorina Răducanu
  • Grigore S. Sălăgean

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


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.


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

MR(2010) Subject Classification


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Copyright information

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

Authors and Affiliations

  • H. M. Srivastava
    • 1
  • Dorina Răducanu
    • 2
  • Grigore S. Sălăgean
    • 3
  1. 1.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada
  2. 2.Faculty of Mathematics and Computer ScienceTransilvania University of BraşovBraşovRomania
  3. 3.Faculty of Mathematics and Computer ScienceBabeş-Bolyai UniversityCluj-NapocaRomania