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New characterizations of a classical bankruptcy rule

✍ Scribed by Juan D. Moreno-Ternero; Antonio Villar


Book ID
106262599
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
191 KB
Volume
10
Category
Article
ISSN
1434-4750

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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