Advances in Theoretical and Applied Mathematics

  • Year: 2006
  • Volume: 1
  • Issue: 3

A subclass of Uniformly Convex Functions with Negative Coefficients Defined by a Certain Linear Operator

  • Author:
  • Jamal M. Shenan, Mousa S. Marouf
  • Total Page Count: 12
  • DOI:
  • Page Number: 211 to 222

Department of Mathematics, Alazhar University-Gaza, P.O. Box 1277, Gaza, Palestine. E-mail: shenangm@yahoo.com

Abstract

In this paper we introduce a new class of uniformly convex functions defined by using a certain linear operator.Coefficient estimates, distortion theorems, and other interesting properties of this class of functions are studied.Further class preserving integral operator and some closed theorems for this class are also indicated.

Keywords

Fractional derivative, univalent functions, uniformly convex