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

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

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 t...

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Veröffentlicht in:Symmetry (Basel) 2023-10, Vol.15 (11), p.2004
Hauptverfasser: Khan, Muhammad Ghaffar, Khan, Bilal, Gong, Jianhua, Tchier, Fairouz, Tawfiq, Ferdous M. O.
Format: Artikel
Sprache:eng
Schlagworte:
analytic function
Analytic functions
Convex analysis
differential subordination
Mathematical functions
starlike function
symmetric image domain
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Zusammenfassung: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15112004