Results 21 to 30 of about 18,610 (207)

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

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

q-deformed harmonic and Clifford analysis and the q-Hermite and Laguerre polynomials [PDF]

, 2010
We define a q-deformation of the Dirac operator, inspired by the one dimensional q-derivative. This implies a q-deformation of the partial derivatives. By taking the square of this Dirac operator we find a q-deformation of the Laplace operator.
Atakishiyev M, Atakishiyev N, Bonatsos D, Brackx F, Brackx F, Ciccoli N, De Bie H, Delanghe R, Dobrogowska A, Exton H, Exton H, F Sommen, Gasper G, Jackson F, K Coulembier, Lavagno A, Truong T, Ubriaco M   +17 more
core   +2 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

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

On multiple q-Laguerre polynomials

Journal of Classical Analysis, 2023
Summary: We study \(q\)-Laguerre multiple orthogonal polynomials. These polynomials are orthogonal with respect to \(q\)-analogues of Laguerre weight functions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type formulas are obtained and their explicit representations are given.
Sadjang, P. Njionou, Mouncharou, J. C. Múnlúem, Mboutngam, Salifou   +2 more
openaire   +2 more sources

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

Fractional Generalizations of Rodrigues-Type Formulas for Laguerre Functions in Function Spaces

Mathematics, 2021
Generalized Laguerre polynomials, Ln(α), verify the well-known Rodrigues’ formula. Using Weyl and Riemann–Liouville fractional calculi, we present several fractional generalizations of Rodrigues’ formula for generalized Laguerre functions and polynomials.
Pedro J. Miana, Natalia Romero
doaj   +1 more source

Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials

, 2015
The bilinear generating function for products of two Laguerre 2D polynomials Lm;n(z; z0) with different arguments is calculated. It corresponds to the formula of Mehler for the generating function of products of two Hermite polynomials.
Wünsche, Alfred
core   +1 more source