𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Classical multiple orthogonal polynomials of Angelesco system

✍ Scribed by D.W. Lee


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
182 KB
Volume
60
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


New Characterizations of Discrete Classi
✍ K.H. Kwon; D.W. Lee; S.B. Park πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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 [(dΓ‚dx) r P n

Semiclassical Multiple Orthogonal Polyno
✍ A.I. Aptekarev; F. MarcellΓ‘n; I.A. Rocha πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 429 KB

This paper deals with Hermite Pade polynomials in the case where the multiple orthogonality condition is related to semiclassical functionals. The polynomials, introduced in such a way, are a generalization of classical orthogonal polynomials (Jacobi, Laguerre, Hermite, and Bessel polynomials). They