ESTIMATES OF THE INITIAL TAYLOR-MACLAURIN COEFFICIENTS OF A GENERAL SUBCLASS OF BI-BAZILEVIC TYPE FUNCTIONS

Orhan H., Tejas N. S., Raju D. S., Magesh N.

General Mathematics, vol.32, no.2, pp.1-15, 2024 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 32 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.2478/gm-2024-0008
  • Journal Name: General Mathematics
  • Journal Indexes: EBSCO Legal Source, Other Indexes
  • Page Numbers: pp.1-15
  • Ataturk University Affiliated: Yes

Abstract

This paper introduces a novel subclass of generalized bi-Bazileviˇc functions, which unifies and bridges several well-known subclasses, such as bi-starlike and bi-convex functions. We derive bounds for the initial coefficients of the defined

class through the generating function of Horadam polynomials and establish estimates for the famous Fekete–Szeg ̈o inequality. Additionally, we provide relevant connections to previously established results. By specializing the pa-

rameters in our main results, we obtain further interesting findings that extend   the scope of this study.