๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Difference equations for discrete classical multiple orthogonal polynomials

โœ Scribed by D.W. Lee


Book ID
108159041
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
252 KB
Volume
150
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Fourth-order difference equation for the
โœ M. Foupouagnigni; W. Koepf; A. Ronveaux ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

We derive the fourth-order difference equation satisfied by the associated order r of classical orthogonal polynomials of a discrete variable. The coefficients of this equation are given in terms of the polynomials a and z which appear in the discrete Pearson equation A(ap)= zp defining the weight

New Characterizations of Discrete Classi
โœ K.H. Kwon; D.W. Lee; S.B. Park ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

We prove that if both [P n (x)] n=0 and [{ r P n (x)] n=r are orthogonal polynomials for any fixed integer r 1, then [P n (x)] n=0 must be discrete classical orthogonal polynomials. This result is a discrete version of the classical Hahn's theorem stating that if both [P n (x)] n=0 and [(dร‚dx) r P n