Differential equation for the limit of the nearest neighbour recursion coefficients for MORPL

A limiting property of the nearest-neighbor recurrence coefficients for multiple orthogonal polynomials from a Nevai class is investigated. Namely, assuming that the nearest-neighbor coefficients have a limit along rays of the lattice, we describe it in terms of the solution of a system of differential equations.
This is a joint work with A. I. Aptekarev.