Bounds on Hankel determinant for starlike and convex functions with respect to symmetric points

DOI10.1080/23311835.2016.1160557zbMath1426.30009OpenAlexW2296443065MaRDI QIDQ4966747

Sudhananda Maharana, Ambuj Kumar Mishra, Jugal Kishore Prajapat

Publication date: 27 June 2019

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

Full work available at URL: https://doi.org/10.1080/23311835.2016.1160557

zbMATH Keywords

Hankel determinantToeplitz determinantanalytic and univalent functionsstar-like and convex functions with respect to symmetric points

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 (9)

Unnamed Item ⋮ The Fekete-Szegö estimates for a new class of analytic functions associated with the convolution ⋮ Unnamed Item ⋮ On Hankel determinant \(H_{2}{(3)}\) for univalent functions ⋮ On the coefficient problem for close-to-convex functions ⋮ Third Hankel determinant of starlike and convex functions ⋮ Unnamed Item ⋮ Bounds on coefficients and third Hankel determinant for a class of analytic functions related with certain conic domain ⋮ Hermitian Toeplitz determinants for the class S of univalent functions

Cites Work

• A coefficient inequality for a subclass of the Carathéodory functions defined using conical domains
• On the Fekete-Szegö problem for concave univalent functions
• On a certain univalent mapping
• Second Hankel determinant for a class of analytic functions defined by fractional derivative
• The Fekete-Szegő problem fork-uniformly convex functions and for a class defined by the Owa-Srivastava operator
• Fekete-Szegö problem for a class defined by an integral operator
• On subclasses of schlicht mappings
• Applications of fractional calculus to parabolic starlike and uniformly convex functions
• On certain subclasses of analytic functions associated with the Carlson-Shaffer operator
• Bounds for the second Hankel determinant of certain univalent functions
• Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli
• Bounds on third Hankel determinant for close-to-convex functions
• The Hankel Determinant of Exponential Polynomials
• The fekete-szegö-problem for a subclass of close-to-convex functions
• Third Hankel determinant for certain subclass ofp–valent functions
• FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS
• THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
• On the Fekete-Szego Problem for Close-to-Convex Functions
• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficient Bounds for the Inverse of a Function with Derivative in P
• On the Second Hankel Determinant of Areally Mean p-Valent Functions
• The second Hankel determinant for a class of analytic functions associated with the Carlson-Shaffer operator
• On the Coefficients and Hankel Determinants of Univalent Functions
• On the Second Hankel Determinant of Mean Univalent Functions
• A Coefficient Inequality for Certain Classes of Analytic Functions
• On the Hankel determinants of univalent functions
• Power series with integral coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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