<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

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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

Publicado en línea: 31 mar 2018

Páginas: 199 - 214

Recibido: 09 sept 2016

Aceptado: 24 oct 2016

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

Palabras clave
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

Publicado en línea: 31 mar 2018

Páginas: 199 - 214

Recibido: 09 sept 2016

Aceptado: 24 oct 2016

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

Palabras claveAnalytic functions, Hankel determinant, Functions with positive real part

© 2018

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

Palabras clave
Analytic functions, Hankel determinant, Functions with positive real part