Certain subclasses of bi-univalent functions defined by Chebyshev polynomials

DOI10.1007/s13370-020-00812-2zbMath1474.30123OpenAlexW3040962466MaRDI QIDQ2035877

Yanyan Li

Publication date: 25 June 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-020-00812-2

zbMATH Keywords

subordinationconvolutionChebyshev polynomialcoefficient estimatesbi-univalent functions

Mathematics Subject Classification ID

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

Cites Work

• Upper bound of second Hankel determinant for bi-Bazilevič functions
• Subclasses of bi-univalent functions defined by convolution
• An upper bound to the second Hankel determinant for functions in Mocanu class
• The Fekete-Szegö coefficient functional for transforms of analytic functions
• Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions
• Second Hankel determinant for bi-starlike and bi-convex functions of order \(\beta\)
• Coefficient bounds for subclasses of biunivalent functions associated with the Chebyshev polynomials
• Coefficient estimates for a new subclass of analytic and bi-univalent functions defined by Hadamard product
• Bounds for the second Hankel determinant of certain univalent functions
• Starlike and Prestarlike Hypergeometric Functions
• On the Second Hankel Determinant of Areally Mean p-Valent Functions
• Initial bounds for analytic and bi-univalent functions by means of Chebyshev polynomials
• Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials
• Bounds for the second Hankel determinant of certain bi-univalent functions
• Construction of the second Hankel determinant for a new subclass of bi-univalentfunctions
• Second Hankel determinant problem for k-bi-starlike functions
• Coefficient estimates for a new subclass of analytic and bi-univalent functions defined by convolution
• Chebyshev Polynomial Approximations for the L-Membrane Eigenvalue Problem
• A Coefficient Inequality for Certain Classes of Analytic Functions
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