Mediterranean Journal of Mathematics

, Volume 13, Issue 4, pp 1535–1553 | Cite as

On the Convolution of a Finite Number of Analytic Functions Involving a Generalized Srivastava–Attiya Operator

  • Poonam Sharma
  • Ravinder Krishna Raina
  • Janusz Sokół


The present paper gives several subordination results involving a generalized Srivastava–Attiya operator (defined below). Among the results presented in this paper include also a sufficiency condition for the convexity of the convolution of certain functions and a sharp result relating to the convolution structure. We also mention various useful special cases of the main results including those which are related to the Zeta function.

Mathematics Subject Classification

Primary 30C45 30C50 


Analytic functions Convolution subordination convex functions Zeta function 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Poonam Sharma
    • 1
  • Ravinder Krishna Raina
    • 2
    • 3
  • Janusz Sokół
    • 4
  1. 1.Department of Mathematics and AstronomyUniversity of LucknowLucknowIndia
  2. 2.M.P. University of Agriculture and TechnologyUdaipurIndia
  3. 3.UdaipurIndia
  4. 4.Department of MathematicsRzeszów University of TechnologyRzeszówPoland

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