In the present paper, we introduce a subclass BH Σ (ν, σ, ρ) of the bi-univalent function class
Σ, which is defined in the open unit disk U using the Chebyshev polynomials along with …

Further, let S⊂ A which are univalent functions in∇. let S∗(α) and K (α) indicate the well
known classes of starlike and convex functions of order α (0≤ α< 1) respectively (see [6]) …

E, k (λ, x, y: α, ζ) of bi-univalent functions defined by Frasin differential operator satisfying
subordinate conditions in the unit disk∇={z∈ C:| z|< 1}. Fekete-Szego problem and the …

We introduce two new subclasses $\mathcal {U} _ {\Sigma}(\alpha,\lambda) $ and
${\mathcal {B} _1} _ {\Sigma}(\alpha) $ of analytic bi-univalent functions defined in the open …

In the present investigation, with motivation from the pioneering work of Srivastava et al.[28],
which in recent years actually revived the study of analytic and bi-univalent functions, we …

We introduce two new subclasses U Σ (α, λ) and ℬ1Σ (α) of analytic bi-univalent functions
defined in an open unit disk 𝕌, which are associated with the Bazilevich functions. In …

In this current study, we introduced and investigated two new subclasses of the bi-univalent
functions associated with q-derivative operator; both f and f− 1 are m-fold symmetric …

Geometric function theory (GFT) is a core branch of Complex Analysis and the study of
univalent and multivalent functions is a fascinating branch of it. The theory of univalent …

In this current study, we introduced and investigated two new subclasses of the bi-univalent
functions associated with\(q\)-derivative operator; both\(f\) and\(f^{-1}\) are\(m\)-fold …

Improved Estimates on Initial Coefficients of Certain Subclasses of Bi-univalent Functions
Page 1 Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 16 …