This article deals with two new subclasses of analytic and bi-univalent functions in the open
unit disk, which is defined by applying subordination principle between analytic functions …

In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent
functions using the q-derivative operator D q 0< q< 1 and the Gegenbauer polynomials in a …

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 present a novel class of Yamakawa-type bi-starlike functions. These
functions are defined using Gegenbauer polynomials associated with q-calculus. We have …

This investigation deals with two new subclasses of analytic and bi-univalent functions
defined by Bernoulli polynomial. In this paper, coefficient estimation and Fekete-Szegö …

In the present paper, by making use of Lucas-Balancing polynomials two new subclasses of
regular and bi-univalent functions are introduced. Then, some upper bounds are determined …

This article deals with two new subclasses of analytic and bi-univalent functions in the open
unit disk, which is defined by applying subordination principle between analytic functions …

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 …