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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants
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by Masahiko Ito and Masatoshi Noumi PDF
Proc. Amer. Math. Soc. 145 (2017), 689-703 Request permission

Abstract:

We give a proof of the evaluation formula for the elliptic Selberg integral of type $BC_n$ as an application of the fundamental $BC_n$-invariants.
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Additional Information
  • Masahiko Ito
  • Affiliation: School of Science and Technology for Future Life, Tokyo Denki University, Tokyo 120-8551, Japan
  • MR Author ID: 619270
  • Email: mito@cck.dendai.ac.jp
  • Masatoshi Noumi
  • Affiliation: Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
  • MR Author ID: 210204
  • Email: noumi@math.kobe-u.ac.jp
  • Received by editor(s): June 24, 2015
  • Received by editor(s) in revised form: April 6, 2016
  • Published electronically: August 5, 2016
  • Additional Notes: This work was supported by JSPS Kakenhi Grants (C)25400118 and (B)15H03626.
  • Communicated by: Mourad Ismail
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 689-703
  • MSC (2010): Primary 33D70; Secondary 39A13
  • DOI: https://doi.org/10.1090/proc/13234
  • MathSciNet review: 3577871