Closed expressions for $\int ^{1}_{0}t^{1}\textrm {log}^{n1}\ t\log ^{p}(1t) dt$
Author:
K. S. Kölbig
Journal:
Math. Comp. 39 (1982), 647654
MSC:
Primary 33A70; Secondary 3304
DOI:
https://doi.org/10.1090/S0025571819820669656X
MathSciNet review:
669656
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Abstract: Closed expressions for the integral $\smallint _0^1{t^{  1}}{\log ^{n  1}}t{\log ^p}(1  t)\;dt$, whose general form is given elsewhere, are listed for $n = 1(1)9$, $p = 1(1)9$. A formula is derived which allows an easy evaluation of these expressions by formula manipulation on a computer.

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Article copyright:
© Copyright 1982
American Mathematical Society