Open Access
december 2011 On a Certain Subclass of Multivalent Analytic Functions Defined by the Liu-Owa Operator
M. K. Aouf, T. M Seoudy
Bull. Belg. Math. Soc. Simon Stevin 18(5): 941-955 (december 2011). DOI: 10.36045/bbms/1323787177

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.

Citation

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M. K. Aouf. T. M Seoudy. "On a Certain Subclass of Multivalent Analytic Functions Defined by the Liu-Owa Operator." Bull. Belg. Math. Soc. Simon Stevin 18 (5) 941 - 955, december 2011. https://doi.org/10.36045/bbms/1323787177

Information

Published: december 2011
First available in Project Euclid: 13 December 2011

zbMATH: 1236.30009
MathSciNet: MR2918656
Digital Object Identifier: 10.36045/bbms/1323787177

Subjects:
Primary: 30C45

Keywords: analytic functions , convex function , Hadamard product (or convolution) , linear operator , multivalent functions, , ‎starlike function , Subordination , Superordination

Rights: Copyright © 2011 The Belgian Mathematical Society

Vol.18 • No. 5 • december 2011
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