𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On an system of “classical” polynomials of simultaneous orthogonality

✍ Scribed by V. Kaliaguine; A. Ronveaux

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
524 KB
Volume
67
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Extensions of discrete classical orthogo
Extensions of discrete classical orthogonal polynomials beyond the orthogonality
✍ R.S. Costas-Santos; J.F. Sánchez-Lara 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 655 KB

It is well-known that the family of Hahn polynomials {h α,β n (x; N)} n≥0 is orthogonal with respect to a certain weight function up to degree N. In this paper we prove, by using the three-term recurrence relation which this family satisfies, that the Hahn polynomials can be characterized by a ∆-Sob

New Characterizations of Discrete Classi
New Characterizations of Discrete Classical Orthogonal Polynomials
✍ K.H. Kwon; D.W. Lee; S.B. Park 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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 [(dÂdx) r P n