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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the integral $\int _{0}^{\pi /2}\textrm {log}^{n} \textrm {cos} x \textrm {log}^{p}\textrm {sin} x dx$
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by K. S. Kölbig PDF
Math. Comp. 40 (1983), 565-570 Request permission

Abstract:

A formula is derived for the integral in the title which allows easy evaluation by formula manipulation on a computer.
References
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  • A. C. Hearn, REDUCE Users Manual, 2nd ed., Univ. of Utah, Salt Lake City, Utah, 1973.
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  • K. S. Kölbig, On the value of a logarithmic-trigonometric integral, Nordisk Tidskr. Informationsbehandling (BIT) 11 (1971), 21–28. MR 290532, DOI 10.1007/bf01935325
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  • N. Nielsen, "Der Eulersche Dilogarithmus und seine Verallgemeinerungen," Nova Acta Leopoldina, v. 90, 1909, pp. 123-211. N. Nielsen, "Undersøgelser over Reciproke Potenssummer og dere Anvendelse paa Raekker og Integraler," Danske Vid. Selsk. Skr., 6. Raekke, naturvid. og math. Afd., v. 8, 1898, pp. 395-443. N. Nielsen, "Sur la transformation d’une intégrale définie," Oversigt Danske Vid. Selsk. Forh., 1896, pp. 335-347. N. Nielsen, "Sur la sommation de quelques séries," Oversigt Danske Vid. Selsk. Forh., 1896, pp. 348-361. N. Nielsen, "Théorème sur les intégrales $\smallint _0^{\pi /4}{\log ^p}\sin 2\phi \,d\phi$ et $\smallint _0^{\pi /4}{\text {tg}}\,\phi {\log ^P}\sin 2\phi \,d\phi$," Oversigt Danske Vid. Selsk. Forh., 1897, pp. 197-206.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 565-570
  • MSC: Primary 33A35; Secondary 10H05
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0689472-3
  • MathSciNet review: 689472