Bernoulli polynomials for a new subclass of Te-univalent functions

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.

Keywords

• Analytic functions
• Univalent functions
• Te-univalent functions
• Fekete-Szegö problem
• Bernoulli polynomials