Evaluation of the integral ∫₀^{𝑝}𝑢ⁿ𝑒^{-𝑢²}(𝑢+𝑥)⁻¹𝑑𝑢

Nagaraja, K. S.; Verma, G. R.

doi:10.1090/S0025-5718-1982-0658222-8

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
DOI: https://doi.org/10.1090/S0025-5718-1982-0658222-8
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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