Toeplitz Determinant for the Inverse of a Function Whose Derivative Has a Positive Real Part-Reference-Cited by-同舟云学术

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

Published:2024-01-01 Issue:1 Volume:9 Page:
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Li Zongtao¹,Gou Dong²

Affiliation:

1. School of Public Basic Education, Guangzhou Civil Aviation College , Guangzhou , China .

2. School of Mathematical Sciences, Yangzhou Polytechnic College , Yangzhou , China .

Abstract

Abstract Let R denote the family of analytic and univalent functions f(z) in the unit disk Ω = {z ∈ C: |z | < 1} such that Re f′(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 T 2(2), T 2(3), T 3(1) and T 3(2) .

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/amns-2024-1061

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