The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of bi-close-to-convex functions connected with the \(q\)-convolution

DOI10.3934/math.2020454zbMath1484.30027OpenAlexW3086081809MaRDI QIDQ2132272

Yanyan Li

Publication date: 27 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020454

zbMATH Keywords

analytic functionsunivalent functionsFaber polynomial expansion\(q\)-convolutionbi-close-to-convex functions\(q\)-derivative (or \(q\)-difference) operatorBieberbach conjecture (de Branges theorem)Carathéodory lemmaconvolution of analytic functionsPoisson operator and Pascal distribution operator

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Linear operators on function spaces (general) (47B38) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (6)

Applications of a certain \(q\)-integral operator to the subclasses of analytic and bi-univalent functions ⋮ A generalized conic domain and its applications to certain subclasses of multivalent functions associated with the basic (or \(q \)-) calculus ⋮ Coefficient bounds for certain two subclasses of bi-univalent functions ⋮ Horadam polynomials for a new family of \(\lambda\)-pseudo bi-univalent functions associated with Sakaguchi type functions ⋮ Unnamed Item ⋮ Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution

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