On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

Daniel Breaz; Adriana Cătaş; Luminiţa-Ioana Cotîrlă

doi:10.2478/auom-2022-0005

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On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 1 (February 2022)

By: Daniel Breaz, Adriana Cătaş and Luminiţa-Ioana Cotîrlă

Open Access

|Mar 2022

Abstract

In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f^′(0)−1 = 0, associated with exponential functions. The aim of the present paper is to investigate the third-order Hankel determinant H₃(1) for this function class and obtain the upper bound of the determinant H₃(1).

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2022-0005 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 75 - 89

Submitted on: Dec 30, 2020

Accepted on: May 28, 2021

Published on: Mar 12, 2022

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2022 Daniel Breaz, Adriana Cătaş, Luminiţa-Ioana Cotîrlă, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 1 (February 2022)