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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Euler’s integrals and multiple sine functions
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by Shin-ya Koyama and Nobushige Kurokawa
Proc. Amer. Math. Soc. 133 (2005), 1257-1265
DOI: https://doi.org/10.1090/S0002-9939-04-07863-3
Published electronically: December 15, 2004
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Abstract:

We show that Euler’s famous integrals whose integrands contain the logarithm of the sine function are expressed via multiple sine functions.
References
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Bibliographic Information
  • Shin-ya Koyama
  • Affiliation: 2-5-27 Hayabuchi, Tsuzuki-ku, Yokohama 224-0025, Japan
  • Email: koyama@tmtv.ne.jp
  • Nobushige Kurokawa
  • Affiliation: Department of Mathematics, Tokyo Institute of Technology, 152-8551, Tokyo, Japan
  • Email: kurokawa@math.titech.ac.jp
  • Received by editor(s): August 4, 2003
  • Published electronically: December 15, 2004
  • Communicated by: David E. Rohrlich
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1257-1265
  • MSC (2000): Primary 11M06
  • DOI: https://doi.org/10.1090/S0002-9939-04-07863-3
  • MathSciNet review: 2111930