Results 31 to 40 of about 18,676 (205)

Identities involving Laguerre polynomials derived from umbral calculus [PDF]

, 2013
In this paper, we investigate some identities of Laguerre polynomials involving Bernoulli and Euler polynomials which are derived from umbral calculus.Comment: 12 ...
Kim, Taekyun
core   +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

Dispersion Estimates for the Discrete Laguerre Operator [PDF]

, 2016
We derive an explicit expression for the kernel of the evolution group $\exp(-\mathrm{i} t H_0)$ of the discrete Laguerre operator $H_0$ (i.e. the Jacobi operator associated with the Laguerre polynomials) in terms of Jacobi polynomials.
Kostenko, Aleksey, Teschl, Gerald
core   +2 more sources

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III [PDF]

, 2016
In a previous paper, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
Odake, Satoru
core   +3 more sources

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

Irreducibility of extensions of Laguerre polynomials [PDF]

Functiones et Approximatio Commentarii Mathematici, 2020
For integers $a_0,a_1,\ldots,a_n$ with $|a_0a_n|=1$ and either $α=u$ with $1\leq u \leq 50$ or $α=u+ \frac{1}{2}$ with $1 \leq u \leq 45$, we prove that $ψ_n^{(α)}(x;a_0,a_1,\cdots,a_n)$ is irreducible except for an explicit finite set of pairs $(u,n)$. Furthermore all the exceptions other than $n=2^{12},α=89/2$ are necessary.
Laishram, Shanta, Nair, Saranya G., Shorey, Tarlok N.   +2 more
openaire   +3 more sources

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

Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type [PDF]

, 2011
We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Desrosiers, Patrick, Hallnäs, Martin
core   +8 more sources

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