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Mathematics of Computation

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On the integral $ \smallint \sp{\infty }\sb{0}e\sp{-\mu t}t\sp{\nu -1}\,{\rm log}\sp{m}\,t\,dt$

Author: K. S. Kölbig
Journal: Math. Comp. 41 (1983), 171-182
MSC: Primary 33A70; Secondary 33A15, 44A10, 80A99
MathSciNet review: 701632
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Abstract: A recurrence relation is given for the integral in the title. Formulae which allow easy evaluation by formula manipulation are given for integer and half-integer values of $ \nu $. Explicit expressions for these integrals for small values of m and $ \nu = n$, $ \nu = n + \frac{1}{2}$ are also presented.

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Article copyright: © Copyright 1983 American Mathematical Society

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