Geodesic
Linearization of the Product of Jacobi Polynomials. I
Canadian journal of mathematics, Tome 22 (1970) no. 1, pp. 171-175

Voir la notice de l'article provenant de la source Cambridge University Press

Let Pn(α,β) be the Jacobi polynomial of degree n, order (α,β), α,β > – 1, defined by [9, p. 67], and let Rn (α,β)(x) = Pn(α,β)(x)/Pn(αβ)(1). Then for n ≧ m, where Since Rn (α, β)(l) = 1, it follows that (1) It is known that if (the ultraspherical case) or if α = β + 1, then α = β + 1, then g(k, n, m) ≧ 0. 
Gasper, George. Linearization of the Product of Jacobi Polynomials. I. Canadian journal of mathematics, Tome 22 (1970) no. 1, pp. 171-175. doi: 10.4153/CJM-1970-020-2
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