Closed expressions for $\int ^{1}_{0}t^{-1}\textrm {log}^{n-1}\ t\log ^{p}(1-t) dt$
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- by K. S. Kölbig PDF
- Math. Comp. 39 (1982), 647-654 Request permission
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.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 39 (1982), 647-654
- MSC: Primary 33A70; Secondary 33-04
- DOI: https://doi.org/10.1090/S0025-5718-1982-0669656-X
- MathSciNet review: 669656