Hankel, Toeplitz, and Hermitian-Toeplitz determinants for certain close-to-convex functions

DOI10.1007/s00009-021-01934-yzbMath1483.30032OpenAlexW4206680080MaRDI QIDQ2067221

Vasudevarao Allu, Derek K. Thomas, Adam Lecko

Publication date: 17 January 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01934-y

zbMATH Keywords

Toeplitz determinantsHankel determinantscoefficient estimatesOzaki close-to-convex functions

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)

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 ⋮ On the second Hankel determinant of logarithmic coefficients for certain univalent functions ⋮ Hankel and Toeplitz determinants for a subclass of analytic functions ⋮ Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions

Cites Work

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• Proof of the Zalcman conjecture for initial coefficients
• THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
• The Zalcman Conjecture for Close-to-Convex Functions
• Coefficient Bounds for the Inverse of a Function with Derivative in P
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS
• ON OZAKI CLOSE-TO-CONVEX FUNCTIONS
• Applications of Livingston‐type inequalities to the generalized Zalcman functional
• Sharp estimates of generalized zalcman functional of early coeffcients for Ma-Minda type functions
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