On Certain Subclass of Starlike Functions with Negative Coefficients Associated with Erdelyi-Kober Integral Operator

S. Prathiba; Thomas Rosy

doi:10.2478/gm-2021-0015

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On Certain Subclass of Starlike Functions with Negative Coefficients Associated with Erdelyi-Kober Integral Operator

General Mathematics

Volume 29 (2021): Issue 2 (December 2021)

By: S. Prathiba and Thomas Rosy

Open Access

|Mar 2022

Abstract

In this research article, making use of Erdelyi-Kober integral operator, we define a new subclass T^a,c_µ(α, β, γ, A, B) of starlike functions with negative coefficient. Various properties like coefficient estimates, neighbourhood results, integral means, partial sums and subordination results are examined for this class.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2021-0015 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 69 - 82

Submitted on: Oct 23, 2021

Accepted on: Nov 24, 2021

Published on: Mar 30, 2022

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Univalent,

starlike and convex functions,

Erdelyi-Kober Integral operator

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2022 S. Prathiba, Thomas Rosy, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 2 (December 2021)