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Article . 2013
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Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator

Authors: Rabba M. El-Ashwah; Mohamed K. Aouf; Ali Shamandy; Sheza M. El-Deeb;

Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator

Abstract

\textit{K. Sakaguchi} [J. Math. Soc. Japan 11, 72--75 (1959; Zbl 0085.29602)] introduced the class of starlike functions with respect to symmetric points; these are normalized analytic functions \(f\) on the open unit disk satisfying \(\text{Re}(zf'(z)/(f(z)-f(-z))>0\). The authors give some applications of the theory of differential subordination and superordination to certain classes of functions with respect to symmetric points defined by making use of the Dziok-Srivastava convolution operator.

Keywords

Symmetric points, Superordination, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), sandwich theorems, Sandwich theorems, Differential subordination, QA1-939, superordination, Dziok-Srivastava operator, symmetric points, differential subordination, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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Published in a Diamond OA journal