<abstract xmlns="http://www.w3.org/1999/xhtml">

Let <italic>R</italic> denote the family of analytic and univalent functions <italic>f</italic>(<italic>z</italic>) in the unit disk Ω = {<italic>z</italic> ∈ <italic>C</italic>: |<italic>z</italic> | &lt; 1} such that Re <italic>f</italic>′(<italic>z</italic>) > 0. We investigated the Toeplitz determinant for the inverse of the function to <italic>f</italic> ∈ <italic>R</italic> and gave the upper bound estimates of the determinants <italic>T</italic>2(2), <italic>T</italic>2(3), <italic>T</italic>3(1) and <italic>T</italic>3(2) .
</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 T2(2), T2(3), T3(1) and T3(2) .

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

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) .

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...

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

Data publikacji: 10 mar 2024

Zakres stron: -

Otrzymano: 01 kwi 2024

Przyjęty: 04 lip 2024

DOI: https://doi.org/10.2478/amns-2024-1061

Słowa kluczowe
analytic function, univalent function, Toeplitz determinant, the inverse function to ∈

© 2024 Zongtao Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Data publikacji: 10 mar 2024

Zakres stron: -

Otrzymano: 01 kwi 2024

Przyjęty: 04 lip 2024

DOI: https://doi.org/10.2478/amns-2024-1061

Słowa kluczoweanalytic function, univalent function, Toeplitz determinant, the inverse function to ∈

© 2024 Zongtao Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Słowa kluczowe
analytic function, univalent function, Toeplitz determinant, the inverse function to ∈