Results 21 to 30 of about 2,224 (227)

Efficient computation of Laguerre polynomials [PDF]

Computer Physics Communications, 2017
To appear in Computer Physics ...
Nico M. Temme, Amparo Gil, Amparo Gil, Javier Segura, Javier Segura   +4 more
openaire   +4 more sources

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

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

Specializations of Generalized Laguerre Polynomials [PDF]

SIAM Journal on Mathematical Analysis, 1994
Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as $q$-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.
Dennis Stanton, Rodica Simion
openaire   +3 more sources

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

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

Laguerre polynomials as Jensen polynomials of Laguerre–Pólya entire functions

Journal of Computational and Applied Mathematics, 2009
AbstractWe prove that the only Jensen polynomials associated with an entire function in the Laguerre–Pólya class that are orthogonal are the Laguerre polynomials.
Dimitrov, Dimitar Kolev, Cheikh, Youssef Ben   +1 more
openaire   +3 more sources

Matrix Valued Laguerre Polynomials [PDF]

, 2019
20 pages, to appear in Positivity and Noncommutative Analysis Festschrift in Honour of Ben de Pagter (eds. G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J. van Neerven and A. Wickstead)
Koelink, H.T., Roman, P.M.
openaire   +3 more sources

The Combinatorics of Associated Laguerre Polynomials [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2015
The explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation tableaux. Another derivation of the double sum is provided using only the moment generating function.
Kim, J.S., Stanton, D.
openaire   +3 more sources