Results 11 to 20 of about 700 (183)

The Extended Laguerre Polynomials Aq,nαx Involving Fqq,q>2

Journal of Function Spaces, 2022
In this paper, for the proposed extended Laguerre polynomials Aαq,nx, the generalized hypergeometric function of the type Fqq,q>2 and extension of the Laguerre polynomial are introduced.
Adnan Khan, Muhammad Kalim, Ali Akgül, Fahd Jarad   +3 more
doaj   +1 more source

A note on degenerate generalized Laguerre polynomials and Lah numbers

Advances in Difference Equations, 2021
The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomials and Lah numbers, including an explicit ...
Taekyun Kim, Dmitry V. Dolgy, Dae San Kim, Hye Kyung Kim, Seong Ho Park   +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

Some relations on Humbert matrix polynomials [PDF]

Mathematica Bohemica, 2016
The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix ...
Ayman Shehata
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

CONNECTION FORMULAS AND REPRESENTATIONS OF LAGUERRE POLYNOMIALS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS

Проблемы анализа, 2019
In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
doaj   +1 more source

Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]

Arab Journal of Mathematical Sciences, 2023
Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
doaj   +1 more source

Some Integrals Involving q-Laguerre Polynomials and Applications

Abstract and Applied Analysis, 2013
The integrals involving multivariate q-Laguerre polynomials and then auxiliary ones are studied. In addition, the representations of q-Hermite polynomials by q-Laguerre polynomials and their related integrals are given.
Jian Cao
doaj   +1 more source

On the connection coefficients and recurrence relations arising from expansions in series of modified generalized Laguerre polynomials: Applications on a semi-infinite domain

Nonlinear Engineering, 2019
Herein, three important theorems were stated and proved. The first relates the modified generalized Laguerre expansion coefficients of the derivatives of a function in terms of its original expansion coefficients; and an explicit expression for the ...
Doha E.H., Youssri Y.H.
doaj   +1 more source

LAGUERRE AND MEIXNER POLYNOMIALS IN DUALITY [PDF]

Glasgow Mathematical Journal, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources