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- W2032082945 abstract "In this paper we are constructing a recurrence relation of the form ∑ i=0 r ω i (k)m k+i {λ} [f] = ω(k) for integrals (called modified moments) m k {λ} [f]df= ∫ −1 1 f(x)C k (λ) (x)dx (k = 0,1,…) in which C k ( λ ) is the k -th Gegenbauer polynomial of order λ(λ > − 1 2 ) , and f is a function satisfying the differential equation ∑ i=0 n P i (x)f (i) (x) = p(x) (−1⩽x⩽1) of order n , where p 0 , p 1 , …, p n ≢ 0 are polynomials, and m k 〈 λ 〉 [ p ] is known for every k . We give three methods of construction of such a recurrence relation. The first of them (called Method I) is optimum in a certain sense." @default.
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- W2032082945 date "1979-09-01" @default.
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- W2032082945 title "Construction of a recurrence relation for modified moments" @default.
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- W2032082945 doi "https://doi.org/10.1016/0377-0427(79)90005-0" @default.
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