Weighted quadratic norms and ultraspherical polynomials. I
نویسندگان
چکیده
منابع مشابه
Constrained Ultraspherical-Weighted Orthogonal Polynomials on Triangle
We construct Ultraspherical-weighted orthogonal polynomials C (λ,γ) n,r (u, v, w), λ > − 2 , γ > −1, on the triangular domain T, where 2λ + γ = 1. We show C (λ,γ) n,r (u, v, w), r = 0, 1, . . . , n; n ≥ 0 form an orthogonal system over the triangular domain T with respect to the Ultraspherical weight function. Mathematics Subject Classification: 33C45, 42C05, 33C70
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1959
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1959-0107772-5