JournalsprimsVol. 42 , No. 2DOI 10.2977/prims/1166642114

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

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.