Two-variable orthogonal polynomials of big q-Jacobi type
نویسندگان
چکیده
منابع مشابه
Two-variable orthogonal polynomials of big q-Jacobi type
A four-parameter family of orthogonal polynomials in two variables is defined by Pn,k(x, y; a, b, c, d; q) :=Pn−k(y; a, bcq , dq; q) y(dq/y; q)k Pk (x/y; c, b, d/y; q) (n ∈ N; k = 0, 1, . . . , n), where q ∈ (0, 1), 0 < aq, bq, cq < 1, d < 0, and Pm(t;α, β, γ; q) are univariate big q-Jacobi polynomials, Pm(t;α, β, γ; q) := 3φ2 ( q−m, αβq, t αq, γq ∣∣∣∣ q; q) (m ≥ 0) (see, e.g., [1, Section 7.3]...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.02.070