Results 11 to 20 of about 2,196 (186)

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

Expressions of the Laguerre polynomial and some other special functions in terms of the generalized Meijer G-functions

AIMS Mathematics, 2021
In this paper, we investigate the relation of generalized Meijer G-functions with some other special functions. We prove the generalized form of Laguerre polynomials, product of Laguerre polynomials with exponential functions, logarithmic functions in ...
Syed Ali Haider Shah, Shahid Mubeen
doaj   +1 more source

Construction of partially degenerate Laguerre-Genocchi polynomials with their applications

AIMS Mathematics, 2020
Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature.
Talha Usman, Mohd Aman, Owais Khan, Kottakkaran Sooppy Nisar, Serkan Araci   +4 more
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

A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line

Abstract and Applied Analysis, 2013
This paper deals with modified generalized Laguerre spectral tau and collocation methods for solving linear and nonlinear multiterm fractional differential equations (FDEs) on the half line.
D. Baleanu, A. H. Bhrawy, T. M. Taha
doaj   +1 more source

Inequalities for Laguerre functions

Journal of Inequalities and Applications, 1997
The main published inequality for Laguerre functions Lvμ(z) seems to be for Laguerre polynomials Ln0(x) only; it is [2: 10.18(3)]: |Ln(x)|≤ex/2  for  x>0.This paper presents several inequalities for Laguerre polynomials Lnμ(x) and ...
E. R. Love
doaj   +1 more source

A New Generalization of mth-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials

Mathematics
This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Shahid Ahmad Wani, Alawia Adam   +4 more
doaj   +1 more source