In this paper, we introduce two new subclasses of the function class Σ of bi-univalent
functions defined in the open unit disc. Furthermore, we find estimates on the coefficients| a�…

This paper introduces a new class Tγ α, β, k (η) of analytic functions which is defined by means
of a linear operator involving generalized Mittag-Leffler function Hγ α, β, k (f). The results …

Let ϕ(z) be a fixed analytic and univalent function of the form ϕ(z)=z+∑ k=2 ∞ c k z k and H
ϕ (c k ,δ) be the subclass consisting of analytic and univalent functions f(z) which satisfy the …

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

The Miller–Ross-type Poisson distribution is an important model for plenty of real-world
applications. In the present analysis, we study and introduce a new class of bi-univalent …

In this paper, we introduce a special family M σ m ( τ , ν , η , φ ) of the function family σ m of m-fold
symmetric bi-univalent functions defined in the open unit disc D and obtain estimates of …

In the present paper, we determine new characterisations of the subclasses ∗ (α, β;
γ) and (α, β; γ) of analytic functions associated with Pascal distribution series ${\Phi…

In the current work, we introduce a special family of the function family of analytic and m-fold
symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients | …