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Duality Transformation Formulas for Multiple Elliptic Hypergeometric Series of Type BC

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Abstract

New duality transformation formulas are proposed for multiple elliptic hypergeometric series of type BC and of type C. Various transformation and summation formulas are derived as special cases to recover some previously known results.

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Acknowledgments

This research is partially supported by Grant-in-Aid for Scientific Research (C) 25400026 and (B) 15H03626.

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Authors and Affiliations

  1. Department of Mathematics, Rikkyo University, Nishi-Ikebukuro, Toshima-ku, Tokyo, 171-8501, Japan

    Yasushi Komori

  2. Department of Mathematics, Kobe University, Rokko, Kobe, 657-8501, Japan

    Yasuho Masuda & Masatoshi Noumi

Authors
  1. Yasushi Komori
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  2. Yasuho Masuda
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  3. Masatoshi Noumi
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Corresponding author

Correspondence to Yasuho Masuda.

Additional information

Communicated by Tom H. Koornwinder.

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Komori, Y., Masuda, Y. & Noumi, M. Duality Transformation Formulas for Multiple Elliptic Hypergeometric Series of Type BC . Constr Approx 44, 483–516 (2016). https://doi.org/10.1007/s00365-015-9316-0

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  • DOI: https://doi.org/10.1007/s00365-015-9316-0

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