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Some new characterizations of the Chebyshev polynomials

โœ 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

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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 [(dร‚dx) r P n

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