A Certain Subclass of Analytic Functions with Negative Coefficients Defined by Gegenbauer Polynomials

Bolineni Venkateswarlu; Pinninti Thirupathi Reddy; Settipalli Sridevi; Vaishnavy Sujatha

doi:10.2478/tmmp-2021-0006

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A Certain Subclass of Analytic Functions with Negative Coefficients Defined by Gegenbauer Polynomials

Tatra Mountains Mathematical Publications

Volume 78 (2021): Issue 1 (October 2021)

By: Bolineni Venkateswarlu, Pinninti Thirupathi Reddy, Settipalli Sridevi and Vaishnavy Sujatha

Open Access

|Jan 2022

Abstract

In this paper, we introduce a new subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. We obtain coefficient bounds, growth and distortion properties, extreme points and radii of starlikeness, convexity and close-to-convexity for functions belonging to the class $T S_{λ}^{m} (γ, e, k, v)$ TS_\lambda ^m(\gamma ,e,k,v). Furthermore, we obtained the Fekete-Szego problem for this class.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2021-0006 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 73 - 84

Submitted on: Nov 11, 2020

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

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© 2022 Bolineni Venkateswarlu, Pinninti Thirupathi Reddy, Settipalli Sridevi, Vaishnavy Sujatha, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 78 (2021): Issue 1 (October 2021)