Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator

The aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk. Furthermore, the universal by-product operator and geometric properties such as coefficient inequalities are investigated. Remarkable re...

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Bibliographic Details
Main Authors: Mustafa I. Hameed, Shaheed Jameel Al-Dulaimi, Hussaini Joshua, Ismael I. Hameed, Israa A. Ibrahim, Kayode Oshinubi
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2024/8279226
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Summary:The aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk. Furthermore, the universal by-product operator and geometric properties such as coefficient inequalities are investigated. Remarkable results on the differential subordination and superordination of analytic univalent functions and results using higher derivative operator for differential subordination are obtained. Some interesting applications of subordination in the unit disk are obtained using convolution and convexity.
ISSN:1687-0425