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Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials - MaRDI portal

Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials (Q2471378)

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Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials
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    title
    Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials (English)
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    author
    Masahiko Ito
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    publication date
    22 February 2008
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    review text
    Summary: We introduce new symmetric polynomials which induce a \(q\)-difference equation associated with a basic hypergeometric sum of type \(C_n\) investigated by Gustafson. Using them we give another proof for Gustafson's \(C_n\)-type summation formula.
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    Identifiers

    Mathematics Subject Classification ID
    33D67
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    33D70
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    33D52
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    zbMATH DE Number
    5238907
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    OpenAlex ID
    W2020285208
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