Linearization of the Product of Jacobi Polynomials. I
- 1 February 1970
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 22 (1) , 171-175
- https://doi.org/10.4153/cjm-1970-020-2
Abstract
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.Keywords
This publication has 0 references indexed in Scilit: