The Third Hankel determinant for inverse coefficients of bounded turning functions

2025/06/19 by Raza, Mohsan, Tuneski, Nikola
#30C45 #30C50 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.16212

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.

Citations

• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS

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