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

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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://www.ejpam.com/index.php/ejpam/article/view/1678