Some sharp bounds of the third-order Hankel determinant for the inverses of the Ozaki type close-to-convex functions

HM Srivastava, B Rath, KS Kumar… - Bulletin des Sciences …, 2024 - Elsevier
The main object of this article is to present the sharp bounds of the third-order Hankel
determinant for functions in a subclass of normalized analytic functions in the open unit disk …

The sharp bound of the third Hankel determinant for the inverse of bounded turning functions

S Kumar, B Rath - Contemporary Mathematics, 2023 - ojs.wiserpub.com
The Sharp Bound of the Third Hankel Determinant for the Inverse of Bounded Turning Functions
Page 1 Contemporary Mathematics 30 | Biswajit Rath, et al. Contemporary Mathematics …

Third-order Hankel determinant sharp estimates for the inverse of complex valued holomorphic functions

M Abbas, T Bulboacă, RK Alhefthi, M Arif - Heliyon, 2025 - cell.com
Determining coefficient estimates of inverse complex valued function is often more
challenging than determining the function itself, leading to a lack of articles on inverse …

An exact estimate of the third Hankel determinants for functions inverse to convex functions

B Rath, KS Kumar, DV Krishna - Matematychni Studii, 2023 - matstud.org.ua
Invesigation of bounds for Hankel determinat of analytic univalent functions is prominent
intrest of many researcher from early twenth century to study geometric properties. Many …

[PDF][PDF] Sharp bounds on Hankel determinants of bounded turning functions involving the hyperbolic tangent function

ZG Wang, HM Srivastava, M Arif, ZH Liu… - Applicable Analysis and …, 2024 - doiserbia.nb.rs
Applicable Analysis and Discrete Mathematics SHARP BOUNDS ON HANKEL
DETERMINANTS OF BOUNDED TURNING FUNCTIONS INVOLVING THE HYPE Page 1 …

The sharp bound of the third Hankel determinant of the kth-root transformation for bounded turning functions

HM Srivastava, B Rath, SK KARRI - Acta et Commentationes …, 2023 - ojs.utlib.ee
The objective of this paper is to estimate the sharp bound of the third Hankel determinant for
the kth-root transformation to the class of functions whose derivative has a positive real part …

The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions

B Rath, K Sanjay Kumar, D Vamshee Krishna… - Afrika Matematika, 2024 - Springer
In this paper, we delve into the fascinating realm of analytic mappings within the open unit
disc, focusing on functions that are standardly normalized. Our research is centered on …

The sharp bound of the third Hankel determinant for certain subfamilies of analytic functions

B Rath, KS Kumar, DV Krishna… - Ukrainian Mathematical …, 2024 - Springer
We study an upper bound and the sharp bound of the third-order Hankel determinant for
some subfamilies of analytic functions for the parameters α∈(1, 4/3] and α= 3/2 …

The sharp bound of the third order Hankel determinant for inverse of Ozaki close-to-convex functions

B Rath, KS Kumar, DV Krishna - arXiv preprint arXiv:2310.02666, 2023 - arxiv.org
Let $ f $ be analytic in the unit disk $\mathbb {D}=\{z\in\mathbb {C}~:~| z|< 1\} $, and
$\mathcal {S} $ be the subclass of normalized univalent functions given by $ f (z)=\sum_ {n …

[PDF][PDF] THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED TURNING FUNCTIONS

D Guo, H Tang, X Luo, ZT Li - Journal of Applied Analysis & …, 2025 - jaac-online.com
THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED
TURNING FUNCTIONS 1. Introduction Page 1 Journal of Applied Analysis and Computation …