𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stieltjes functions and discrete classical orthogonal polynomials

✍ Scribed by Cleonice F. Bracciali, Teresa E. Pérez…

Book ID
120888572
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
232 KB
Volume
32
Category
Article
ISSN
0101-8205

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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