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. 523–549DOI 10.2977/PRIMS/1166642114