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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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


A formula is derived for the integral in the title which allows easy evaluation by formula manipulation on a computer.
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  • A. C. Hearn, REDUCE Users Manual, 2nd ed., Univ. of Utah, Salt Lake City, Utah, 1973.
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  • Leonard Lewin, Polylogarithms and associated functions, North-Holland Publishing Co., New York-Amsterdam, 1981. With a foreword by A. J. Van der Poorten. MR 618278
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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:
  • MathSciNet review: 689472