New classes of analytic and bi-univalent functions

DOI10.3934/math.2021618OpenAlexW3183325902MaRDI QIDQ2671099

Luminiţa-Ioana Cotîrlă

Publication date: 3 June 2022

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

Full work available at URL: https://doi.org/10.3934/math.2021618

zbMATH Keywords

Fekete-Szegö problemanalytic functionsunivalent functionsbi-univalent functionscoefficient bounds and coefficient estimates(p,q)-derivative operator

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)

Related Items (1)

The study of coefficient estimates and Fekete-Szegö inequalities for the new classes of \(m\)-fold symmetric bi-univalent functions defined using an operator

Cites Work

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• On a class of analytic functions related to conic domains involving {\(q\)}-calculus
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• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator
• Verification of Brannan and Clunie's conjecture for certain subclasses of bi-univalent functions
• On a Coefficient Problem for Bi-Univalent Functions
• Faber polynomial coefficient bounds for a subclass of bi-univalent functions

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