A Unified Class of Analytic Functions with Varying Argument of Coefficients

Authors

  • Jacek Dziok
  • Hari M. Srivastava

Keywords:

Analytic functions, Convex functions, k-Starlike functions, Uniformly convex functions, Varying arguments of coefficients, Subordination between analytic functions, Hadamard product (or convolution), Generalized hypergeometric function, Dziok-Srivastava ope

Abstract

The object of the present paper is to investigate several classes of analytic functions with varying argument of coefficients, which are defined here by means of the principle of subordination between analytic functions. Such properties as the coefficient estimates, distortion theorems, subordination theorems, convolution properties, integral means inequalities, and radii of convexity and starlikenes are investigated. Some consequences of our main results for new or known classes of analytic functions are also pointed out.

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Published

2009-08-18

How to Cite

Dziok, J., & Srivastava, H. M. (2009). A Unified Class of Analytic Functions with Varying Argument of Coefficients. European Journal of Pure and Applied Mathematics, 2(3), 302–324. Retrieved from https://ejpam.com/index.php/ejpam/article/view/411

Issue

Vol. 2 No. 3: (July 2009)

Section

Complex Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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