Open Access
February 2009 Certain Results on Differential Subordination for Some Classes of Multivalently Analytic Functions Associated with a Convolution Structure
J. K. Prajapat, R. K. Raina
Bull. Belg. Math. Soc. Simon Stevin 16(1): 153-165 (February 2009). DOI: 10.36045/bbms/1235574199

Abstract

Appealing to the familiar convolution structure of analytic functions, we introduce a general class of multivalently analytic functions, and derive several properties and characteristics of this function class by applying the differential subordination techniques. Relevant connections of the results stated here with those obtained in earlier works are also pointed out.

Citation

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J. K. Prajapat. R. K. Raina. "Certain Results on Differential Subordination for Some Classes of Multivalently Analytic Functions Associated with a Convolution Structure." Bull. Belg. Math. Soc. Simon Stevin 16 (1) 153 - 165, February 2009. https://doi.org/10.36045/bbms/1235574199

Information

Published: February 2009
First available in Project Euclid: 25 February 2009

zbMATH: 1160.30326
MathSciNet: MR2498966
Digital Object Identifier: 10.36045/bbms/1235574199

Subjects:
Primary: 30C45
Secondary: 26A33 , 33C20

Keywords: Differential subordination , Dziok-Srivastava linear operator , Hadamard product(or convolution) , hypergeometric functions , Multivalently analytic functions

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 1 • February 2009
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