分野別セミナー

アブストラクト：
We consider $q$-difference system $E_R:Y(qx)=R(x)Y(x)$ with rational
function in element matrix coefficient.
At first we define spectral type and rigidity index of $E_R$. Next we
obtain classification of 2nd order irreducible rigid equations rigidity
index.
Moreover we define $q$-middle convolution algebraically. We can
recompose that as analytical transformation using Euler transformation.
Finally we consider about the important properties that $q$-middle
convolution satisfies.