Determinant structure for tau-function of holonomic deformation of linear differential equations
arXiv:1706.08373 · doi:10.1007/s00220-018-3256-z
Abstract
In our previous works, a relationship between Hermite's two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this paper, we study tau-functions associated with holonomic deformations of linear differential equations by using Hermite's two approximation problems. As a result, we present a determinant formula for the ratio of tau-functions (tau-quotient).
24 pages