Some Results for Certain Subclasses of Functions with Differential Equation and Subordination

Authors

  • Liangpeng Xiong China
  • Xiaoli Liu

Keywords:

Analytic functions, Convex function, Subordination, Differential equation

Abstract

By applying the differential subordination theorem, we further investigate the subclassHn, [,] of functions which are analytic in the unit disk. Several subordination results on a convex function and a incomplete beta function are obtained. Moreover, the function that belongs to the Hn, [,] with a Cauchy-Euler differential equation is also discussed on similar subject. Our results extend some earlier works.

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Issue

Vol. 5 No. 3: (July 2012)

Section

Functional 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.

How to Cite

Some Results for Certain Subclasses of Functions with Differential Equation and Subordination. (2012). European Journal of Pure and Applied Mathematics, 5(3), 380-389. https://ejpam.com/index.php/ejpam/article/view/1678