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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

Avram Sidi
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 2 , October 1982 , pp. 223 - 233
Copyright
Copyright © Australian Mathematical Society 1982

References

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