Smish: A novel activation function for deep learning methods

X Wang, H Ren, A Wang - Electronics, 2022 - mdpi.com
Activation functions are crucial in deep learning networks, given that the nonlinear ability of
activation functions endows deep neural networks with real artificial intelligence. Nonlinear …

A generalization of Gegenbauer polynomials and bi-univalent functions

A Amourah, A Alsoboh, O Ogilat, GM Gharib, R Saadeh… - Axioms, 2023 - mdpi.com
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 …

An avant-Garde construction for subclasses of analytic bi-univalent functions

F Yousef, A Amourah, BA Frasin, T Bulboacă - Axioms, 2022 - mdpi.com
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 …

Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi‐Univalent Functions Involving Gegenbauer Polynomials

A Amourah, M Alomari, F Yousef… - Mathematical Problems …, 2022 - Wiley Online Library
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 …

Applications of Neutrosophic q-Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions

A Alsoboh, A Amourah, M Darus, RIA Sharefeen - Mathematics, 2023 - mdpi.com
By using the generalization of the neutrosophic q-Poisson distribution series, we introduce a
new subclass of analytic and bi-univalent functions defined in the open unit disk. We then …

An application of Miller–Ross-type Poisson distribution on certain subclasses of bi-univalent functions subordinate to Gegenbauer polynomials

A Amourah, BA Frasin, TM Seoudy - Mathematics, 2022 - mdpi.com
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 …

Fekete–Szegö inequality for bi-univalent functions by means of Horadam polynomials

T Al-Hawary, A Amourah, BA Frasin - Boletín de la Sociedad Matematica …, 2021 - Springer
In this paper, make use of the Horadam polynomials, we introduce a comprehensive
subclass of analytic and bi-univalent functions. For functions belonging to this class we …

Estimates for the coefficients of subclasses defined by the bell distribution of bi-univalent functions subordinate to Gegenbauer polynomials

A Amourah, O Alnajar, M Darus, A Shdouh, O Ogilat - Mathematics, 2023 - mdpi.com
In the real world there are many applications that find the Bell distribution to be a useful and
relevant model. One of these is the normal distribution. In this paper, we develop a new …

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

SR Swamy, BA Frasin, I Aldawish - Mathematics, 2022 - mdpi.com
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 …

A Comprehensive Family of Biunivalent Functions Defined by k‐Fibonacci Numbers

BA Frasin, SR Swamy, I Aldawish - Journal of Function Spaces, 2021 - Wiley Online Library
By using k‐Fibonacci numbers, we present a comprehensive family of regular and
biunivalent functions of the type gz= z+∑ j= 2∞ djzj in the open unit disc D. We estimate the …