On a Certain Integral Operator

• Journal title : Kyungpook mathematical journal
• Volume 52, Issue 1,  2012, pp.33-38
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2012.52.1.33
Title & Authors
On a Certain Integral Operator
Porwal, Saurabh; Aouf, Muhammed Kamal;

Abstract
The purpose of the present paper is to investigate mapping properties of an integral operator in which we show that the function g defined by $\small{g(z)=\{\frac{c+{\alpha}}{z^c}{\int}_{o}^{z}t^{c-1}(D^nf)^{\alpha}(t)dt\}^{1/{\alpha}}}$. belongs to the class $\small{S(A,B)}$ if $\small{f{\in}S(n,A,B)}$.
Keywords
Analytic;Univalent;Subordination;Integral Operator;
Language
English
Cited by
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