<abstract xmlns="http://www.w3.org/1999/xhtml">In the present paper, we introduce a certain subclass 𝒦q(λ, γ, h) of analytic functions by means of a quasi-subordination. Sharp bounds of the Fekete-Szegő functional for functions belonging to the class 𝒦q(λ, γ, h) are obtained. The results presented in the paper give improved versions for the certain subclasses involving the quasi-subordination and majorization.</abstract>

In the present paper, we introduce a certain subclass 𝒦q(λ, γ, h) of analytic functions by means of a quasi-subordination. Sharp bounds of the Fekete-Szegő functional for functions belonging to the class 𝒦q(λ, γ, h) are obtained. The results presented in the paper give improved versions for the certain subclasses involving the quasi-subordination and majorization.

Sharp bounds of Fekete-Szegő functional for quasi-subordination class

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Sharp bounds of Fekete-Szegő functional for quasi-subordination class"}

In the present paper, we introduce a certain subclass 𝒦q(λ, γ, h) of analytic functions by means of a quasi-subordination. Sharp bounds of the Fekete-Szegő...

Sharp bounds of Fekete-Szegő functional for quasi-subordination class

Published Online: Aug 17, 2019

Page range: 87 - 98

Received: Jun 07, 2018

DOI: https://doi.org/10.2478/ausm-2019-0008

Keywords
univalent functions, subordination, quasi-subordination, Fekete-Szegő coefficients

© 2019 Shashi Kant et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Sharp bounds of Fekete-Szegő functional for quasi-subordination class

Published Online: Aug 17, 2019

Page range: 87 - 98

Received: Jun 07, 2018

DOI: https://doi.org/10.2478/ausm-2019-0008

Keywordsunivalent functions, subordination, quasi-subordination, Fekete-Szegő coefficients

© 2019 Shashi Kant et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
univalent functions, subordination, quasi-subordination, Fekete-Szegő coefficients