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Converging factors for some asymptotic moment series that arise in numerical quadrature
Published online by Cambridge University Press: 17 February 2009
Abstract
In this work the asymptotic behavior of the partial sums of the divergent asymptotic moment series , where μi are the moments of the weight functions w(x) = xαe−x, α > −1, and w(x) = xαEm (x), α > −1, m + α > 0, on the interval [0, ∞), is analyzed. Expressions for the converging factors are derived by the author for the infinite range integras with w(x) as given above.
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- Copyright © Australian Mathematical Society 1982
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