Fuzzy differential subordinations based upon the Mittag-Leffler type Borel distribution

HM Srivastava, SM El-Deeb - Symmetry, 2021 - mdpi.com
In this paper, we investigate several fuzzy differential subordinations that are connected with
the Borel distribution series B λ, α, β (z) of the Mittag-Leffler type, which involves the two …

Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle

A Alsoboh, A Amourah, M Darus, CA Rudder - Symmetry, 2023 - mdpi.com
In the real world, there are many applications that find the Pascal distribution to be a useful
and relevant model. One of these is the normal distribution. In this work, we develop a new …

[PDF][PDF] Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type

HM Srivastava, G Murugusundaramoorthy… - J. Nonlinear Var …, 2021 - jnva.biemdas.com
By using the Borel distribution series of the Mittag-Leffler type, we introduce a new class of
the bi-close-to-convex functions defined in the open unit disk. We then apply the Faber …

Certain subclasses of analytic functions associated with generalized telephone numbers

G Murugusundaramoorthy, K Vijaya - Symmetry, 2022 - mdpi.com
The goal of this article is to contemplate coefficient estimates for a new class of analytic
functions f associated with generalized telephone numbers to originate certain initial Taylor …

Applications of Gegenbauer polynomials for subfamilies of bi-univalent functions involving a Borel distribution-type Mittag-Leffler function

A Alatawi, M Darus, B Alamri - Symmetry, 2023 - mdpi.com
In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler
functions is introduced using Hadamard products or convolutions. This operator is utilized to …

Applications of beta negative binomial distribution and Laguerre polynomials on Ozaki bi-close-to-convex functions

I Al-Shbeil, AK Wanas, A Saliu, A Cătaş - Axioms, 2022 - mdpi.com
In the present paper, due to beta negative binomial distribution series and Laguerre
polynomials, we investigate a new family F Σ (δ, η, λ, θ; h) of normalized holomorphic and bi …

[PDF][PDF] Bi-Bazilevic functions based on the Mittag-Leffler-type Borel distribution associated with Legendre polynomials

SM El-Deeb, G Murugusundaramoorthy… - J. Math. Comput …, 2021 - isr-publications.com
In this paper, using the Mittag-Leffler-type Borel distribution, the authors introduce a new
class of bi-Bazilevic functions defined in the open unit disc associated with Legendre …

An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions

A Hussen - Heliyon, 2024 - cell.com
Abstract The Mittag-Leffler-type Borel distribution is widely recognized and utilized as a
beneficial and pertinent model across numerous applications. This study presents a new …

Applications of Beta negative binomial distribution series on holomorphic functions

AK Wanas, NAJ Al-Ziadi - Earthline Journal of …, 2021 - earthlinepublishers.com
The purpose of this article is to derive the necessary and sufficient conditions for the power
series [P℘] _ (ℷ, γ)^ μ (t) whose coefficients are probabilities of the beta negative binomial …

Applications on a subclass of -uniformly starlike functions connected with -Borel distribution

SM El-Deeb… - Asian-European Journal of …, 2022 - World Scientific
The aim of this paper is to define the operator of q-derivative based upon the Borel
distribution and by using this operator, we familiarize a new subclass of β-uniformly starlike …