
doi: 10.1007/bf00417404
We define the transformation of linear differential equations with rational function coefficients that fix monodromy data and change local multiplicities by any sequence of integers. This transformation that gives rise to Pade approximations, at the same time defines the Backlund transformation of Schlesinger equations.
Linear differential equations in abstract spaces, Schlesinger system, Transform methods (e.g., integral transforms) applied to PDEs, ordinary differential equations, Scattering theory for PDEs, Pade approximation, Bäcklund transformation, Padé approximation, isomonodromy deformations
Linear differential equations in abstract spaces, Schlesinger system, Transform methods (e.g., integral transforms) applied to PDEs, ordinary differential equations, Scattering theory for PDEs, Pade approximation, Bäcklund transformation, Padé approximation, isomonodromy deformations
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