The Third Hankel determinant for inverse coefficients of bounded turning functions
Mohsan Raza, Nikola Tuneski
TL;DR
This paper establishes sharp bounds for the third Hankel determinants of inverse bounded turning functions, resolving a recent conjecture negatively and providing positive results for related determinants.
Contribution
It provides the first sharp bounds for these determinants and addresses a recent conjecture, advancing understanding of bounded turning functions.
Findings
Sharp bounds for third Hankel determinants of inverse functions.
Negative resolution of a recent conjecture.
Positive results for a related class of bounded turning functions.
Abstract
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.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Mathematical functions and polynomials