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 τ-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 τ-functions (τ-quotient).
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics