On a subclass of bi-close-to-convex functions by means of the Gegenbauer polynomial

DOI10.13164/ma.2021.08zbMath1503.30017OpenAlexW4212979431MaRDI QIDQ5049144

Serap Bulut, Adnan Ghazy Alamoush

Publication date: 11 November 2022

Published in: Mathematics for Application (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13164/ma.2021.08

zbMATH Keywords

Gegenbauer polynomialsbi-univalent functionsFekete-Szegő problem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomials and rational functions of one complex variable (30C10) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Uses Software

• DLMF

Cites Work

• Certain properties of a new subclass of close-to-convex functions
• Fekete-Szegö inequality for analytic and biunivalent functions subordinate to Gegenbauer polynomials
• Multivariate polynomial approximation
• The Gegenbauer polynomials and typically real functions
• Asymptotics of the generalized Gegenbauer functions of fractional degree
• On certain subclasses of close-to-convex and quasi-convex functions with respect to \(k\)-symmetric points
• Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers
• On a subclass of close-to-convex functions
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