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Mathematics of Computation

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Evaluation of the integral $ \int \sb{0}\sp{p}u\sp{n}e\sp{-u\sp{2}}(u+x)\sp{-1}\,du$

Authors: K. S. Nagaraja and G. R. Verma
Journal: Math. Comp. 39 (1982), 179-194
MSC: Primary 65D20; Secondary 65A05, 65D30
MathSciNet review: 658222
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Abstract: The representations of the above integral, in a power series form for small values of x and in an asymptotic form for large values of x, are given for integer values of n. In view of the usefulness of this integral, tabulated values are also presented for a wide range of values of x and p, and for a few values of n.

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Article copyright: © Copyright 1982 American Mathematical Society