Results 1 to 10 of about 52 (52)

A new class of Gould-Hopper-Eulerian-type polynomials

Applied Mathematics in Science and Engineering, 2022
In the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials.
Abdulghani Muhyi
doaj   +1 more source

Relevance of Factorization Method to Differential and Integral Equations Associated with Hybrid Class of Polynomials

Fractal and Fractional, 2021
This article has a motive to derive a new class of differential equations and associated integral equations for some hybrid families of Laguerre–Gould–Hopper-based Sheffer polynomials.
Naeem Ahmad, Raziya Sabri, Mohammad Faisal Khan, Mohammad Shadab, Anju Gupta   +4 more
doaj   +1 more source

Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family

Fractal and Fractional, 2022
The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
doaj   +1 more source

Matrix Approaches for Gould–Hopper–Laguerre–Sheffer Matrix Polynomial Identities

Axioms, 2023
The Gould–Hopper–Laguerre–Sheffer matrix polynomials were initially studied using operational methods, but in this paper, we investigate them using matrix techniques.
Tabinda Nahid, Parvez Alam, Junesang Choi   +2 more
doaj   +1 more source

New Discrete Lifetime Distribution with Applications to Count Data

Journal of Statistical Theory and Applications (JSTA), 2021
In this paper, we present a new class of distribution called generalized Hermite–Genocchi distribution (GHGD). This model is obtained by compounding generalized Hermite–Genocchi polynomials given by Gould and Hopper with powers series distribution ...
Beih S. El-Desouky, Rabab S. Gomaa, Alia M. Magar   +2 more
doaj   +1 more source

On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter

Mathematics, 2019
We firstly consider the fully degenerate Gould⁻Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula.
Ugur Duran, Patrick Njionou Sadjang
doaj   +1 more source

On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials

Abstract and Applied Analysis, 2012
This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials.
Sezgin Sucu, Gürhan İçöz, Serhan Varma   +2 more
doaj   +1 more source

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 more
doaj   +1 more source

Fractional Operator Approach and Hybrid Special Polynomials: The Generalized Gould–Hopper–Bell-Based Appell Polynomials and Their Characteristics

Fractal and Fractional
This study introduces a novel generalized class of special polynomials using a fractional operator approach. These polynomials are referred to as the generalized Gould–Hopper–Bell-based Appell polynomials.
Rabeb Sidaoui, E. I. Hassan, Abdulghani Muhyi, Khaled Aldwoah, A. H. A. Alfedeel, Khidir Shaib Mohamed, Alawia Adam   +6 more
doaj   +1 more source

Fractional Extension of Gould–Hopper–Bell Polynomials Related to Apostol-Type Polynomials and Their Properties

Fractal and Fractional
This study uses a fractional operator technique to analyze a novel class of special polynomials. These polynomials are designated as fractional Gould–Hopper–Bell–Apostol-type polynomials.
Rabeb Sidaoui, Abdulghani Muhyi, Khaled Aldwoah, Khidir Shaib Mohamed, Alawia Adam, Manal Y. A. Juma, Amer Alsulami   +6 more
doaj   +1 more source