Applications of (M,N)-Lucas polynomials for holomorphic and bi-univalent functions

DOI10.2298/FIL2010361WzbMath1499.30193MaRDI QIDQ5081183

Abbas Kareem Wanas

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

upper boundssubordinationholomorphic functionsunivalent functionsbi-univalent functionsFekete-Szegö inequality\((M,N)\)-Lucas polynomials

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 (5)

Coefficients bounds for a family of bi-univalent functions defined by Horadam polynomials ⋮ New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution ⋮ Applications of Borel distribution series on holomorphic and bi-univalent functions ⋮ Unnamed Item ⋮ \((\mathfrak{P}, \mathcal{Q})\)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators

Cites Work

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• New subclasses of bi-univalent functions
• Certain subclasses of analytic and bi-univalent functions
• Faber polynomial coefficient estimates for bi-univalent functions defined by the Tremblay fractional derivative operator
• Some properties of the \((p,q)\)-Fibonacci and \((p,q)\)-Lucas polynomials
• Coefficient estimates for a general subclass of analytic and bi-univalent functions of the Ma-Minda type
• Fekete-Szegö inequality for classes of \((p, q)\)-starlike and \((p, q)\)-convex functions
• Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives
• Coefficient estimates for some general subclasses of analytic and bi-univalent functions
• The fekete-szegö-problem for a subclass of close-to-convex functions
• Second Hankel determinant for certain subclasses ofbi-univalent functions
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination
• The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator
• Coefficient estimates for a general subclass of analytic and bi-univalent functions
• Coefficient bounds for a certain class of analytic and bi-univalent functions
• Coefficient estimates for a subclass of analytic and bi-univalent functions

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