Argument Estimates of Certain Analytic Functions Associated with a Family of Multiplier Transformations

Authors

  • M.K. Aouf
  • A. Shamandy
  • R. M. El-Ashwah
  • E. E. Ali

Keywords:

Analytic functions, Multiplier transformation, Differential subordination, Close-to-convex functions, Argument estimates.

Abstract

The purpose of the present paper is to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations. Furthermore, the integral preserving properties in a sector are investigated for these multiplier transformations.

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Published

2010-04-09

How to Cite

Aouf, M., Shamandy, A., El-Ashwah, R. M., & Ali, E. E. (2010). Argument Estimates of Certain Analytic Functions Associated with a Family of Multiplier Transformations. European Journal of Pure and Applied Mathematics, 3(2), 317–330. Retrieved from https://ejpam.com/index.php/ejpam/article/view/488

Issue

Vol. 3 No. 2: (April 2010)

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.