On Generalized Integral Operator Based on Salagean Operator

- Journal title : Kyungpook mathematical journal
- Volume 48, Issue 3, 2008, pp.359-366
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2008.48.3.359

Title & Authors

On Generalized Integral Operator Based on Salagean Operator

Al-Kharsani, Huda Abdullah;

Al-Kharsani, Huda Abdullah;

Abstract

Let A(p) be the class of functions analytic in the open unit disc E. Let, for any integer n > -p, . We define by using convolution * as . A function p, analytic in E with p(0) = 1, is in the class if , where , and . We use the class to introduce a new class of multivalent analytic functions and define an integral operator for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

Keywords

convolution;integral operator;functions with positive real part;convex functions;

Language

English

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