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2009 SOME INCLUSION PROPERTIES OF CERTAIN CLASS OF ANALYTIC FUNCTIONS
Jacek Dziok, Janusz Sokół
Taiwanese J. Math. 13(6B): 2001-2009 (2009). DOI: 10.11650/twjm/1500405653

Abstract

We use a property of the Bernardi operator in the theory of the Briot– Bouquet differential subordinations to prove several theorems for some classes of analytic functions defined by using the Dziok-Srivastava operator. Some of these results we obtain applying the convolution property due to Rusheweyh. We take advantage of the Miller–Mocanu differential subordinations.

Citation

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Jacek Dziok. Janusz Sokół. "SOME INCLUSION PROPERTIES OF CERTAIN CLASS OF ANALYTIC FUNCTIONS." Taiwanese J. Math. 13 (6B) 2001 - 2009, 2009. https://doi.org/10.11650/twjm/1500405653

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1193.30012
MathSciNet: MR2583533
Digital Object Identifier: 10.11650/twjm/1500405653

Subjects:
Primary: 26A33 , 30C45

Keywords: Bernardi operator , Convex functions , Dziok-Srivastava operator , Hadamard product (or convolution) , Starlike functions , Subordination

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 6B • 2009
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