The general recurrence relation for arbitrary rational transformation of polynomials
β 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
- DOI
- 10.1109/31.90418
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π SIMILAR VOLUMES
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
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