Another Proof of Gustafson’s -type Summation Formula via ‘Elementary’ Symmetric Polynomials
Masahiko Ito
Aoyama Gakuin University, Kanagawa, Japan
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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