Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial

Abstract

In the current study, we construct a new subclass of bi-univalent functions with respect to symmetric conjugate points in the open disc E, described by Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds are acquired. The Fekete–Szegö problem of this subclass is also acquired. Further, some special cases of our results are designated.

Geometrical Theory of Analytic Functions

“…In the study presented in paper [12], S. Melike Aydo gan and Zeliha Karahüseyin constructed a new subclass of bi-univalent functions with respect to the symmetric conjugate points in the open disk described by the Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds were acquired, and the Fekete-Szegö problem of this subclass was also considered.…”