Bi-Univalent Characteristics For a Particular Class of Bazilevic Functions Generated By Convolution Using Balancing Polynomials - UTU Research Portal

A1 Refereed original research article in a scientific journal

Bi-Univalent Characteristics For a Particular Class of Bazilevic Functions Generated By Convolution Using Balancing Polynomials

Authors: Saravanan, Gunasekar; Baskaran, Sudharsanan; Vanithakumari, Balasubramaniam; Altinkaya, Sahsene

Publisher: Yarmouk University

Publication year: 2025

Journal: Jordan Journal of Mathematics and Statistics

Volume: 18

Issue: 3

First page : 381

Last page: 392

ISSN: 2075-7905

eISSN: 2227-5487

DOI: https://doi.org/10.47013/18.3.5

Publication's open availability at the time of reporting: Open Access

Publication channel's open availability : Open Access publication channel

Web address : https://doi.org/10.47013/18.3.5

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/515850651

Self-archived copy's version: Publisher`s PDF

Abstract

Bi-univalent functions, which are analytic and univalent in the open unit disk, have been a significant area of research in complex analysis due to their rich geometric properties. This study introduces a novel subclass of bi-univalent functions, called the Bazileviˇc functions class, which is created via the convolution of Balancing polynomials. We calculated the bounds for the Fekete-Szeg¨o inequality as well as the initial coefficients |a₂| and |a₃|. We have also included several relevant corollaries.

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Funding information in the publication:
No funding was received for this study.