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Bernoulli polynomials for a new subclass of Te-univalent functions

Publication Type : Journal Article

Source : Heliyon

Url : https://www.sciencedirect.com/science/article/pii/S2405844024099845

Campus : Chennai

School : School of Engineering

Year : 2024

Abstract : This paper introduces a novel subclass, denoted as Tσq,s(μ1;ν1,κ,x), of Te-univalent functions utilizing Bernoulli polynomials. The study investigates this subclass, establishing initial coefficient bounds for |a2|, |a3|, and the Fekete-Szegö inequality, namely |a3−ζa22|, are derived for this class. Additionally, several corollaries are provided to further elucidate the implications of the findings.

Cite this Research Publication : G. Saravanan, S. Baskaran, B. Vanithakumari, Lulah Alnaji, Timilehin Gideon Shaba, Isra Al-Shbeil, Alina Alp Lupas, Bernoulli polynomials for a new subclass of Te-univalent functions, Heliyon, 2024

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