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 [(dรdx) r P n
โฆ LIBER โฆ
Some new characterizations of the Chebyshev polynomials
โ Scribed by C.A Micchelli; T.J Rivlin
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 203 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
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