In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-
Balancing polynomials. For functions in each of these bi-univalent function subclasses, we …

In this paper, a new subclass of bi-univalent functions linked to Lucas-Balancing
polynomials is introduced. Bounds for the coefficients in the Taylor-Maclaurin series …

The Lucas balancing polynomial is linked to a family of bi-starlike functions denoted as S scc
(ϑ, Ξ (x)), which we present and examine in this work. These functions are defined with …

In this paper, we introduced two novel subclasses of bi-univalent functions, MΣ (α, B (x, ξ))
and HΣ (α, µ, B (x, ξ)), utilizing Lucas-Balancing polynomials. Within these function classes …

In the next study we introduce a new class 𝔅𝛴 ℬ (𝛼; ℬ (𝑥, 𝑧)) of bi-univalent functions
connected with Balancing numbers. For functions in this class we have derived the …

In this paper, we present a novel subclass of bi-univalent functions, which are connected
with both the Ruscheweyh derivative operator and Lucas-Balancing polynomials. We …

SAKAGUCHI TYPE FUNCTIONS DEFINED BY BALANCING POLYNOMIALS 1. Introduction
and preliminaries Let H be the class of analytic funct Page 1 2024 MATHEMATICA BOHEMICA …

In this article, by making use of Lucas-Balancing polynomials two new subclasses of bi-
univalent functions are introduced. Then we establish the bounds for the initial Taylor …