In our previous works [16, 17], 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).
|Publication status||Published - Jun 26 2017|
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