The Third Hankel determinant for inverse coefficients of bounded turning functions

Fuente: arXiv
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Main Authors: Raza, Mohsan, Tuneski, Nikola
Format: Preprint
Published: 2025
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_version_ 1866909653076541440
author Raza, Mohsan
Tuneski, Nikola
author_facet Raza, Mohsan
Tuneski, Nikola
contents In this paper, we obtain sharp bounds for the third Hankel determinants of the coefficients of the inverse of bounded turning functions. Thus answering a negatively to a conjecture recently posed regarding these functions. Additionally, we offer a positive response for the Hankel determinant related to a class of bounded turning functions.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16212
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Third Hankel determinant for inverse coefficients of bounded turning functions
Raza, Mohsan
Tuneski, Nikola
Complex Variables
30C45, 30C50
In this paper, we obtain sharp bounds for the third Hankel determinants of the coefficients of the inverse of bounded turning functions. Thus answering a negatively to a conjecture recently posed regarding these functions. Additionally, we offer a positive response for the Hankel determinant related to a class of bounded turning functions.
title The Third Hankel determinant for inverse coefficients of bounded turning functions
topic Complex Variables
30C45, 30C50
url https://arxiv.org/abs/2506.16212