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



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

Kustantaja: Yarmouk University

Julkaisuvuosi: 2025

Lehti: Jordan Journal of Mathematics and Statistics

Vuosikerta: 18

Numero: 3

Aloitussivu: 381

Lopetussivu: 392

ISSN: 2075-7905

eISSN: 2227-5487

DOI: https://doi.org/10.47013/18.3.5

Julkaisun avoimuus kirjaamishetkellä: Avoimesti saatavilla

Julkaisukanavan avoimuus : Kokonaan avoin julkaisukanava

Verkko-osoite: https://doi.org/10.47013/18.3.5

Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/515850651

Rinnakkaistallennetun julkaisun versio: Kustantajan versio


Tiivistelmä

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.


Ladattava julkaisu

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.

Julkaisussa olevat rahoitustiedot: 
No funding was received for this study.


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