The transformation of polynomial eigenfunctions of linear second-order difference operators: a special case of Meixner polynomials

Citation
G. Bangerezako et Mn. Hounkonnou, The transformation of polynomial eigenfunctions of linear second-order difference operators: a special case of Meixner polynomials, J PHYS A, 34(28), 2001, pp. 5653-5666
Citations number
31
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
28
Year of publication
2001
Pages
5653 - 5666
Database
ISI
SICI code
0305-4470(20010720)34:28<5653:TTOPEO>2.0.ZU;2-2
Abstract
As polynomial eigenfunctions of a linear second-order difference operator, a special case of the Meixner polynomials, M-n((2,c))(x + 1), is transforme d explicitly, into new complete sequences of non-classical orthogonal polyn omials.