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On a Certain Subclass of Multivalent Analytic Functions Defined by the Liu-Owa Operator
M. K. Aouf and T. M Seoudy
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 18, Number 5
(2011), 941-955.
Abstract
By making use of the principle of subordination between analytic functions, we introduce a certain subclass of multivalent analytic functions defined by the Liu-Owa operator. Results such as subordination and superordination properties, convolution properties, distortion theorems and inequality properties, are proved.
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Primary Subjects:
30C45
Keywords: Analytic functions; multivalent functions,; subordination; superordination; linear operator; Hadamard product (or convolution); starlike function; convex function
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1323787177
Zentralblatt MATH identifier: 05996092
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Bulletin of the Belgian Mathematical Society - Simon Stevin