The Sharp Bound of the Third Hankel Determinant for the Inverse of Bounded Turning Functions

Sanjay Kumar K.; Biswajit Rath; Vamshee Krishna  D.

doi:10.37256/cm.4120232183

The Sharp Bound of the Third Hankel Determinant for the Inverse of Bounded Turning Functions

Authors

Sanjay Kumar K. Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam-530045, A.P., India
Biswajit Rath Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam-530045, A.P., India https://orcid.org/0000-0002-9146-6628
Vamshee Krishna D. Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam-530045, A.P., India

DOI:

https://doi.org/10.37256/cm.4120232183

Keywords:

Holomorphic function, Hankel determinant, inverse of bounded turning function, Carathéodory function

Abstract

The objective of this paper is to estimate the best possible upper bound to the third Hankel determinant for the inverse of functions with normalized conditions f (0) = 0, f ′(0) = 1 in the unit disc whose derivative has positive real part.

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Published

2023-02-14

How to Cite

K. SK, Rath B, D. VK. The Sharp Bound of the Third Hankel Determinant for the Inverse of Bounded Turning Functions. Contemp. Math. [Internet]. 2023 Feb. 14 [cited 2024 Nov. 17];4(1):30-41. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2183

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Issue

Contemporary Mathematics, Volume 4 Issue 1 (2023), 1-181

Section

Research Article