<abstract xmlns="http://www.w3.org/1999/xhtml"> Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| &lt; 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2∞ anzn, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel determinant H3(1) for two new subclasses of A.</abstract>

Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2∞ anzn, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel determinant H3(1) for two new subclasses of A.

Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2∞...

Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

Published Online: Mar 31, 2018

Page range: 199 - 214

Received: Sep 09, 2016

Accepted: Oct 24, 2016

DOI: https://doi.org/10.1515/auom-2017-0045

Keywords
Analytic functions, Hankel determinant, Functions with positive real part

© 2018

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

Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

Published Online: Mar 31, 2018

Page range: 199 - 214

Received: Sep 09, 2016

Accepted: Oct 24, 2016

DOI: https://doi.org/10.1515/auom-2017-0045

KeywordsAnalytic functions, Hankel determinant, Functions with positive real part

© 2018

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

Keywords
Analytic functions, Hankel determinant, Functions with positive real part