Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 9, Issue 1


Published
on

March 10, 2024


Pages


DOI

Article

Toeplitz Determinant for the Inverse of a Function Whose Derivative Has a Positive Real Part

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Authors

Zongtao Li Affiliation:
School of Public Basic Education, Guangzhou Civil Aviation College, Guangzhou 510403, China.
and Dong Gou Affiliation:
School of Mathematical Sciences, Yangzhou Polytechnic College, Yangzhou 225009, China.


Abstract

Let R denote the family of analytic and univalent functions f(z) in the unit disk Ω = {z ∈ C: |z | 0. We investigated the Toeplitz determinant for the inverse of the function to f ∈ R and gave the upper bound estimates of the determinants T2(2), T2(3), T3(1) and T3(2) .


Keywords

analytic function, univalent function, Toeplitz determinant, the inverse function to f ∈ R, 30C45


Citation

Li, Z. & Gou, D. (2024). Toeplitz determinant for the inverse of a function whose derivative has a positive real part. Applied Mathematics and Nonlinear Sciences, 9(1). https://doi.org/10.2478/amns-2024-1061

Published by: Engineering Journals

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