New Characterizations of Discrete Classi
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K.H. Kwon; D.W. Lee; S.B. Park
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Article
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1997
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Elsevier Science
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English
โ 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 [(dรdx) r P n