Cubature formulae and orthogonal polynomials
โ Scribed by I.P. Mysovskikh
- Publisher
- Elsevier Science
- Year
- 1970
- Weight
- 296 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
The structure of cubature formulae of degree 2 n y 1 is studied from a polynomial ideal point of view. The main result states that if I is a polynomial ideal ลฝ . generated by a proper set of 2 n y 1 -orthogonal polynomials and if the cardinality ลฝ . of the variety V I is equal to the codimension of
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),