On a new subclass of bi-univalent analytic functions characterized by \((\mathcal{P},\mathcal{Q})\)-Lucas polynomial coefficients via Sălăgean differential operator

DOI10.1007/978-981-97-3238-8_8MaRDI QIDQ6644792

Arzu Akgül

Publication date: 27 November 2024

zbMATH Keywords

differential operatorbi-univalent functionscoefficient bounds\((\mathcal{P}, \mathcal{Q})\)-Lucas polynomials

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Operator theory (47-XX) Approximations and expansions (41-XX)

Cites Work

• An unified approach to the Fekete-Szegő problem
• New subclasses of bi-univalent functions
• On schlicht functions
• Fekete-Szegő problem for starlike and convex functions of complex order
• Certain subclasses of analytic and bi-univalent functions
• A proof of the Bieberbach conjecture
• Univalent functions. Selected topics
• Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. I.
• Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln.
• Some remarks on conformal representation.
• Über die Uniformisierung beliebiger analytischer Kurven.
• Fekete-Szegö inequalities for certain classes of biunivalent functions
• Some properties of the \((p,q)\)-Fibonacci and \((p,q)\)-Lucas polynomials
• The Fekete-Szegő problem for a class of analytic functions defined by Dziok-Srivastava operator
• Coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains defined by error function
• A new characterization of \((P, Q)\)-Lucas polynomial coefficients of the bi-univalent function class associated with \(q\)-analogue of Noor integral operator
• Faber polynomial coefficient estimates for analytic bi-close-to-convex functions
• On the Fekete-Szegő problem for classes of bi-univalent functions
• Coefficient estimates for certain classes of bi-univalent functions
• On the coefficients of univalent functions
• A proof of the Bieberbach conjecture for the sixth coefficient
• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• A proof of the Bieberbach conjecture for the fifth coefficient
• Eine Bemerkung über ungerade schlichte Funktionen.
• A survey of the developement of the theory of schlicht functions
• The coefficients of schlicht functions. II
• The fekete-szegö-problem for a subclass of close-to-convex functions
• Fekete-Szego Inequalities for Close-to-Convex Functions
• The class of Lucas-Lehmer polynomials
• Fibonacci and Lucas Numbers With Applications
• Fekete–Szegö problem for certain subclasses of analytic functions
• The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions
• A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator
• On a Coefficient Problem for Bi-Univalent Functions
• A Coefficient Inequality for Certain Classes of Analytic Functions
• On the Bieberbach conjecture for the sixth coefficient
• On Successive Coefficients of Univalent Functions
• On the Fekete-Szegö problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a new subclass of bi-univalent analytic functions characterized by \((\mathcal{P},\mathcal{Q})\)-Lucas polynomial coefficients via Sălăgean differential operator