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Differential equations for the radial limits in $\mathbb{Z}_+^2$ of the solutions of a discrete integrable system
A. I. Aptekarev, R. Kozhan
Abstract:
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.
Keywords:
spectral theory difference operators; Jacobi matrices, multiple orthogonal polynomials, nearest-neighbor recurrence relations.
Citation:
A. I. Aptekarev, R. Kozhan, “Differential equations for the radial limits in $\mathbb{Z}_+^2$ of the solutions of a discrete integrable system”, Keldysh Institute preprints, 2018, 214, 20 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2573 https://www.mathnet.ru/eng/ipmp/y2018/p214
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Abstract page: | 176 | Full-text PDF : | 52 | References: | 22 |
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