Bounds on third Hankel determinant for close-to-convex functions

DOI10.1515/ausm-2015-0014zbMath1332.30028OpenAlexW2472407039MaRDI QIDQ2634556

Ambuj Kumar Mishra, Deepak Bansal, Alok Singh, Jugal Kishore Prajapat

Publication date: 16 February 2016

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ausm-2015-0014

zbMATH Keywords

Hankel determinantclose-to-convex functionsFekete-Szegő functional

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

Unnamed Item ⋮ Coefficient functionals and radius problems of certain starlike functions ⋮ Second Hankel determinant for close-to-convex functions ⋮ The third-order Hermitian Toeplitz determinant for classes of functions convex in one direction ⋮ The second and third-order Hermitian Toeplitz determinants for starlike and convex functions of order \(\alpha\) ⋮ Sharp bounds on Hermitian Toeplitz determinants for Sakaguchi classes ⋮ Sharp bounds on the fourth-order Hermitian Toeplitz determinant for starlike functions of order 1/2 ⋮ The bound of the Hankel determinant of the third kind for starlike functions ⋮ The Second- and Third-Order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function ⋮ THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS ⋮ On the coefficient problem for close-to-convex functions ⋮ Unnamed Item ⋮ Bounds on Hankel determinant for starlike and convex functions with respect to symmetric points ⋮ Third Hankel determinant of starlike and convex functions ⋮ The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2 ⋮ Unnamed Item ⋮ Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions ⋮ Bounds on coefficients and third Hankel determinant for a class of analytic functions related with certain conic domain ⋮ Best bound for λ- pseudo starlike functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On close-to-convex univalent functions
• On Bazilevich functions
• Upper bound of second Hankel determinant for a new class of analytic functions
• 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
• Close-to-convex schlicht functions
• The Hankel Determinant of Exponential Polynomials
• 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
• 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

This page was built for publication: Bounds on third Hankel determinant for close-to-convex functions