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A generalization of Poincaré's theorem for recurrence equations

✍ Scribed by Attila Máté; Paul Nevai


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
244 KB
Volume
63
Category
Article
ISSN
0021-9045

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📜 SIMILAR VOLUMES


A Generalization of Favard′s Theorem for
✍ A.J. Duran 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 744 KB

In this paper, we give the canonical expression for an inner product (defined in \(\mathscr{P}\), the linear space of real polynomials), for which the set of orthonormal polynomials satisfies a \((2 N+1)\)-term recurrence relation. This result is a generalization of Favard's theorem about orthogonal