In the present paper, a subclass of analytic and biunivalent functions by means of
Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to …

In this paper, we introduce and investigate an interesting subclass 𝒩 Σ h, p (λ, μ) of analytic
and bi-univalent functions in the open unit disk 𝕌. For functions belonging to the class 𝒩 Σ h …

In the present analysis, we aim to construct a new subclass of analytic bi-univalent functions
defined on symmetric domain by means of the Pascal distribution series and Gegenbauer …

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions
in the open unit disk 𝕌. By using the Faber polynomial expansions, we obtain upper bounds …

Three subclasses of analytic and bi-univalent functions are introduced through the use of q−
Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For …

The zero-truncated Poisson distribution is an important and appropriate model for many real-
world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to …

In the present investigation, we consider a new subclass Σ (τ, γ, φ) of the class Σ consisting
of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the …

In this work, we introduce and investigate a new subclass of analytic bi‐univalent functions
based on subordination conditions between the zero‐truncated Poisson distribution and …

In the present work, we aim to introduce and investigate a novel comprehensive subclass of
normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero …

Let Ω denote the class of functions f (z)= z+ a 2 z 2+ a 3 z 3+⋯ belonging to the normalized
analytic function class A in the open unit disk U= z: z< 1, which are bi-univalent in U, that is …