<abstract xmlns="http://www.w3.org/1999/xhtml">

In the present paper we introduce a new class of analytic functions <italic>f</italic> in the open unit disk normalized by <italic>f</italic>(0) = <italic>f′</italic>(0)<italic>−</italic>1 = 0, associated with exponential functions. The aim of the present paper is to investigate the third-order Hankel determinant <italic>H</italic>3(1) for this function class and obtain the upper bound of the determinant <italic>H</italic>3(1).
</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).

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Published Online: Mar 12, 2022

Page range: 75 - 89

Received: Dec 30, 2020

Accepted: May 28, 2021

DOI: https://doi.org/10.2478/auom-2022-0005

Keywords
Elementary, operators, Compact operators, orthogonality, Gateaux derivative

© 2022 Daniel Breaz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Mar 12, 2022

Page range: 75 - 89

Received: Dec 30, 2020

Accepted: May 28, 2021

DOI: https://doi.org/10.2478/auom-2022-0005

KeywordsElementary, operators, Compact operators, orthogonality, Gateaux derivative

© 2022 Daniel Breaz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Elementary, operators, Compact operators, orthogonality, Gateaux derivative