JournalsprimsVol. 42, No. 2pp. 523–549

Another Proof of Gustafson’s <em>C<sub>n</sub></em>-type Summation Formula via ‘Elementary’ Symmetric Polynomials

  • Masahiko Ito

    Aoyama Gakuin University, Kanagawa, Japan
Another Proof of Gustafson’s <em>C<sub>n</sub></em>-type Summation Formula via ‘Elementary’ Symmetric Polynomials cover
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Abstract

We introduce new symmetric polynomials which induce a q-difference equation associated with a basic hypergeometric sum of type Cn investigated by Gustafson. Using them we give another proof for Gustafson’s Cn-type summation formula.

Cite this article

Masahiko Ito, Another Proof of Gustafson’s <em>C<sub>n</sub></em>-type Summation Formula via ‘Elementary’ Symmetric Polynomials. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 523–549

DOI 10.2977/PRIMS/1166642114