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Classical symmetric orthogonal polynomials of a discrete variable

✍ Scribed by Area, I.; Godoy†, E.; Ronveaux‡, A.; Zarzo§, A.


Book ID
118208476
Publisher
Taylor and Francis Group
Year
2004
Tongue
English
Weight
134 KB
Volume
15
Category
Article
ISSN
1065-2469

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📜 SIMILAR VOLUMES


Classical orthogonal polynomials of a di
✍ S. K. Suslov 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 413 KB

Based on the general theory, we consider the continuous orthogonality property for classical polynomials of a discrete variable on nonuniform lattices. ## I. Introduction. Preliminary Notions and Notations Classical orthogonal polynomials (Jacobi, Laguerre and Hermite) are the simplest solutions

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The d-symmetric classical d-orthogonal polynomials are an extension of the standard symmetric classical polynomials according to the Hahn property. In this work, we give some characteristic properties for these polynomials related to generating functions and recurrence-differential equations. As app

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✍ 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