Another Proof of Gustafson’s -type Summation Formula via ‘Elementary’ Symmetric Polynomials

  • Masahiko Ito

    Aoyama Gakuin University, Kanagawa, Japan

Abstract

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

Cite this article

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

DOI 10.2977/PRIMS/1166642114