Sharp bounds on the fourth-order Hermitian Toeplitz determinant for starlike functions of order 1/2

DOI10.7153/jmi-2023-17-63zbMath1526.30025OpenAlexW4387716734MaRDI QIDQ6078440

Yong Sun, Zhi Gang Wang, Huo Tang

Publication date: 24 October 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-63

zbMATH Keywords

star-like functionsestimates for Toeplitz determinants

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)

Cites Work

• Third Hankel determinants for subclasses of univalent functions
• Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions
• On the fourth coefficient of functions in the Carathéodory class
• Upper bound of second Hankel determinant for a new class of analytic functions
• Sharp bounds of the Hermitian Toeplitz determinants for some classes of close-to-convex functions
• The sharp bounds of the second and third Hankel determinants for the class \(\mathcal{SL}^*\)
• On the third and fourth Hankel determinants for a subclass of analytic functions
• Hankel, Toeplitz, and Hermitian-Toeplitz determinants for certain close-to-convex functions
• The sharp bound of the third Hankel determinant for starlike functions of order 1/2
• Hermitian-Toeplitz determinants for certain classes of 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 \(\alpha\)
• The fourth-order Hermitian Toeplitz determinant for convex functions
• The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2
• The bound of the Hankel determinant of the third kind for starlike 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
• Bounds on third Hankel determinant for close-to-convex functions
• Sharp bounds on Hermitian Toeplitz determinants for Sakaguchi classes
• Third Hankel determinant for bounded turning functions of order alpha
• THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT 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
• TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS
• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
• SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS
• Sharp inequalities for Hermitian Toeplitz determinants for strongly starlike and strongly convex functions
• On some sufficient conditions for starlikeness
• Some coefficient inequalities related to the Hankel determinant for strongly starlike functions of order alpha
• Hermitian–Toeplitz and Hankel determinants for certain starlike functions
• Hermitian Toeplitz determinants for the class S of univalent functions
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