Coefficients bounds for a family of bi-univalent functions defined by Horadam polynomials

DOI10.12697/ACUTM.2022.26.02zbMath1491.30004OpenAlexW4281762888MaRDI QIDQ5092971

Yerragunta Sailaja, Abbas Kareem Wanas, Basem Aref Frasin, Sondekola Rudra Swamy

Publication date: 26 July 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2022.26.02

zbMATH Keywords

upper boundFekete-Szegö problemsubordinationbi-univalent functionHoradam polynomial

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

• New subclasses of bi-univalent functions
• Fekete-Szegö inequality for bi-univalent functions by means of Horadam polynomials
• Certain subclasses of analytic and bi-univalent functions
• Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers
• Initial bounds for certain classes of bi-univalent functions defined by Horadam polynomials
• Coefficient estimates for some general subclasses of analytic and bi-univalent functions
• Coefficient estimates for general subclasses of $m$-foldsymmetric analytic bi-univalent functions
• Horadam polynomials and their applications tonew family of bi-univalent functions with respect to symmetric conjugate points
• Applications of (M,N)-Lucas polynomials for holomorphic and bi-univalent functions
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