The application of orthogonal polynomials to cubature formulae
โ Scribed by I.P. Mysovskikh
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 539 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
The object of this paper is to prove combinatorially several (13 of them) limit formulas relating different families of hypergeometric orthogonal polynomials in Askey's chart classifying them. We first find a combinatorial model for Hahn polynomials which, as pointed out by Foata at the ICM (1983),
We give a lower bound for solutions of linear recurrence relations of the form \(z a_{n}=\sum_{k=n-N}^{n+N} \alpha_{k, n} a_{k}\), whenever \(z\) is not in the \(P^{P}\)-spectrum of the corresponding banded operator. In particular if \(P_{n}\) are polynomials orthonormal with respect to a measure \(