Dual and triple sequence equations involving orthogonal polynomials
نویسندگان
چکیده
منابع مشابه
Dual series equations involving generalized Laguerre polynomials
where α + β + 1 > β > 1 −m, σ + 1 > α + β > 0, m is a positive integer, and 0 < h < ∞, 0 ≤ b <∞, and h and b are finite constants. L n [(x + b)h] is a Laguerre polynomial, An are unknown coefficients, and f (x) and g(x) are prescribed functions. Srivastava [5, 6] has solved the following dual series equations: ∞ ∑ n=0 AnL (α) n (x) Γ(α+n+ 1) = f (x), 0 < x < a, (1.3) ∞ ∑ n=0 AnL (σ) n (x) Γ(α+n...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1975
ISSN: 1385-7258
DOI: 10.1016/1385-7258(75)90029-3