Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

Muhammad Ghaffar Khan; Bilal Khan; Jianhua Gong; Fairouz Tchier; Ferdous M.O. Tawfiq

doi:10.3390/sym15112004

Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

Muhammad Ghaffar Khan
, Bilal Khan
, Jianhua Gong
, Fairouz Tchier
, Ferdous M.O. Tawfiq

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

This paper presents a geometric approach to the problems in differential subordination theory. The necessary conditions for a function to be in various subfamilies of the class of starlike functions and the class of Carathéodory functions are studied, respectively. Further, several consequences of the findings are derived.

Original language	English
Article number	2004
Journal	Symmetry
Volume	15
Issue number	11
DOIs	https://doi.org/10.3390/sym15112004
Publication status	Published - Nov 2023

Keywords

analytic function
differential subordination
starlike function
symmetric image domain

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

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10.3390/sym15112004

Cite this

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title = "Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains",

abstract = "This paper presents a geometric approach to the problems in differential subordination theory. The necessary conditions for a function to be in various subfamilies of the class of starlike functions and the class of Carath{\'e}odory functions are studied, respectively. Further, several consequences of the findings are derived.",

keywords = "analytic function, differential subordination, starlike function, symmetric image domain",

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AU - Khan, Muhammad Ghaffar

AU - Khan, Bilal

AU - Gong, Jianhua

AU - Tchier, Fairouz

AU - Tawfiq, Ferdous M.O.

PY - 2023/11

Y1 - 2023/11

N2 - This paper presents a geometric approach to the problems in differential subordination theory. The necessary conditions for a function to be in various subfamilies of the class of starlike functions and the class of Carathéodory functions are studied, respectively. Further, several consequences of the findings are derived.

AB - This paper presents a geometric approach to the problems in differential subordination theory. The necessary conditions for a function to be in various subfamilies of the class of starlike functions and the class of Carathéodory functions are studied, respectively. Further, several consequences of the findings are derived.

KW - analytic function

KW - differential subordination

KW - starlike function

KW - symmetric image domain

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Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

Abstract

Keywords

ASJC Scopus subject areas

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