THE FEKETE-SZEGO PROBLEMS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SIGMOID FUNCTION

DOI10.22190/FUMI201022034OMaRDI QIDQ5041895

Halit Orhan, Murat Çağlar, Gangadharan Murugusundaramoorthy

Publication date: 18 October 2022

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

zbMATH Keywords

upper boundsanalytic functionssigmoid functionunivalent functionsbi-univalent functionsFekete-Szegő problemsubordination between analytic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Bi-univalent functions with positive real part derivatives
• Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions
• Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers
• Certain class of starlike functions associated with modified sigmoid function
• The Fekete-Szegö inequality for subclasses of analytic functions related to modified Sigmoid functions
• Coefficient bounds for new subclasses of bi-univalent functions

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