On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution

• Journal title : Kyungpook mathematical journal
• Volume 49, Issue 1,  2009, pp.47-55
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2009.49.1.047
Title & Authors
On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution
Sooriyakala, Paramasivam; Marikkannan, Natarajan;

Abstract
In the present investigation sufficient conditions are found for certain subclass of normalized analytic functions defined by Hadamard product. Differential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S$\small{\u{a}}$l$\small{\u{a}}$gean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.
Keywords
analytic functions;univalent functions;Hadamard product;differential subordinations;differential superordinations;Ruscheweyh derivative;S$\small{\u{a}}$l$\small{\u{a}}$gean derivative;Carlson-Shaffer operator;Dziok-Srivatsava linear operator;multiplier transformation;
Language
English
Cited by
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