Some integrals of the products of Laguerre polynomials

Citation
Pa. Lee et al., Some integrals of the products of Laguerre polynomials, INT J COM M, 78(2), 2001, pp. 303-321
Citations number
25
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN journal
00207160 → ACNP
Volume
78
Issue
2
Year of publication
2001
Pages
303 - 321
Database
ISI
SICI code
Abstract
The evaluation of an integral of the product of Laguerre polynomials was di scussed recently in this Journal by Mavromatis [12] (1990) and Lee [9] (199 7) [see also Ong and Lee [14] (2000)]. The main object of the present seque l to these earlier works: is to consider a family of such integrals of the products of Laguerre, Hermite, and other classical orthogonal polynomials i n a systematic and unified manner. Relevant connections of some of these in tegral formulas with various known integrals, as well as the computational and numerical aspects of the results presented here, are also pointed out.