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Applications of recurrence relations for the characteristic polynomials of Bethe trees

✍ Scribed by María Robbiano; Vilmar Trevisan


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
289 KB
Volume
59
Category
Article
ISSN
0898-1221

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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