Gauss decomposition and $q$-difference equations for Jackson integrals of symmetric Selberg type
Complex Variables
2023-10-10 v2
Abstract
We provide explicit expressions for two types of first order -difference systems for the Jackson integral of symmetric Selberg type. One is the -difference system known to be the -KZ equation and the other is the -difference system for parameters different from the -KZ equation. We use a basis of the systems introduced by Matsuo in his study of the -KZ equation. As a result, the similarity of these two systems is discussed by concrete calculations. Intermediate calculations are made use of the Riemann-Hilbelt method for -difference equation from connection matrix established by Aomoto.
Keywords
Cite
@article{arxiv.2309.17181,
title = {Gauss decomposition and $q$-difference equations for Jackson integrals of symmetric Selberg type},
author = {Masahiko Ito},
journal= {arXiv preprint arXiv:2309.17181},
year = {2023}
}
Comments
49 pages, (v2) typo correction