Some properties of a Class of p-valent Analytic Functions Associated with Convolution

Authors

  • Poonam Sharma University of Lucknow, Lucknow 226007 India
  • Prachi Srivastava

Keywords:

Analytic functions, Convolution, Starlike functions

Abstract

In this paper, we define a class ℜ_{h}^{g}(p,m,β) associated with convolution of p-valent analytic functions. Some properties in the form of coefficient inequalities, distortion and growth theorems, sufficient conditions with the help of various lemmas, integral means inequalities for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studied.

Author Biography

  • Poonam Sharma, University of Lucknow, Lucknow 226007 India

    Associate Professor

    Department of Mathematics and Astronomy

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Published

2010-12-31

Issue

Vol. 3 No. 6 (2010): Special Issue on Complex Analysis:Theory and Applications

Section

Special Issue on Complex Analysis: Theory and Applications

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How to Cite

Some properties of a Class of p-valent Analytic Functions Associated with Convolution. (2010). European Journal of Pure and Applied Mathematics, 3(6), 1093-1112. https://www.ejpam.com/index.php/ejpam/article/view/747