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Starlike symmetrical functions

Authors: Al Sarari, Fuad S.;

Starlike symmetrical functions

Abstract

The objective of the present paper is to study subclass S ? ?? ?? (A, B) of analytic functions that is defined by using the class of Janowski functions combined with the (j, k)-symmetrical functions. This class generalizes various classes defined by different authors. Distortion theorem, argument theorem, covering theorem,and convolution condition are obtained. Finally we give analogous definition of neighborhood for the class S ? ?? ?? (A, B) and then investigate related neighborhood result for this new class. The author would like to thank the anonymous referee for invaluable suggestions, which improved the presentation of this paper. I thank my colleagues from the Department of Mathematics and Statistics, College of Sciences, Yanbu, Taibah University. Publisher's Version

Country
Turkey
Keywords

Hankel determinant, Janowski functions, Neighborhood, K-fold symmetric function, Differential subordination, Subordination, Starlike functions, (j, k)-symmetrical function

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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
Average
Average
Average
Green