𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The general recurrence relation for arbitrary rational transformation of polynomials

✍ Scribed by Erfani, S.; Ahmadi, M.; Ramachandran, V.


Book ID
114560187
Publisher
IEEE
Year
1989
Weight
266 KB
Volume
36
Category
Article
ISSN
0098-4094

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A Generalization of Favardβ€²s Theorem for
✍ A.J. Duran πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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

Toda-type differential equations for the
✍ A.I. Aptekarev; A. Branquinho; F. MarcellΓ‘n πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 853 KB

Transformations of the measure of orthogonality for orthogonal polynomials, namely Freud transformations, are considered. Jacobi matrix of the recurrence coefficients of orthogonal polynomials possesses an isospectral deformation under these transformations. Dynamics of the coefficients are describe