2019
DOI: 10.48550/arxiv.1910.08393
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$q$-Difference Systems for the Jackson Integral of Symmetric Selberg Type

Masahiko Ito

Abstract: We provide the explicit expression of first order q-difference system for the Jackson integral of symmetric Selberg type, which is generalized from the q-analog of contiguity relations for the Gauss hypergeometric function. As a basis of the system we use a set of the symmetric polynomials introduced by Matsuo in his study of the q-KZ equation. Our main result is the explicit expression of the coefficient matrix of the q-difference system in terms of its Gauss matrix decomposition. We introduce a class of symm… Show more

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