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KIAM Preprint № 214, Moscow, 2018
Authors: Aptekarev A.I., Kozhan R.
Differential equations for the radial limits in Z+2 of the solutions of a discrete integrable system
A limiting property of the coefficients of the nearest-neighbor recurrence coefficients for the multiple orthogonal polynomials is studying. Namely, assuming existence of the limits along rays of the lattice nearest-neighbor coefficients, we describe the limit in terms of the solution of a system of ordinary differential equations. For Angelesco systems, the result is illustrated numerically.
spectral theory difference operators, Jacobi matrices, multiple orthogonal polynomials, nearest-neighbor recurrence relations
Publication language: english, pages: 20
Research direction:
Mathematical problems and theory of numerical methods
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