Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions.
Existence and uniqueness of analytic solutions of the Shabat equation.
Existence of meromorphic solutions of algebraic differential equations.
Explicit rational solutions of Knizhnik-Zamolodchikov equation
We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group n. We assume that parameter ρ = ±1. In previous paper [5] we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.