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Integral Transforms of Functions to Be in a Class of Analytic Functions Using Duality Techniques

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  • Satwanti Devi
  • A. Swaminathan

Abstract

Let , denote the class of all normalized analytic functions in the unit disc such that for some with , and . Let , , denote the Pascu class of -convex functions given by the analytic condition which unifies the classes of starlike and convex functions. The aim of this paper is to find conditions on so that the integral transform of the form carry functions from into . As for the applications, for specific values of , it is found that several known integral operators carry functions from into . The results for a more generalized operator related to are also given.

Suggested Citation

  • Satwanti Devi & A. Swaminathan, 2014. "Integral Transforms of Functions to Be in a Class of Analytic Functions Using Duality Techniques," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-10, July.
    • Handle: RePEc:hin:jnljca:473069
    DOI: 10.1155/2014/473069
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