Hermite-Pad approximants of the second kind to the Weyl function and its derivatives are investigated. The Weyl function is constructed from the orthogonal Meixner polynomials. The limiting distribution of the zeros of the common denominators of these approximants, which are multiple orthogonal polynomials for a discrete measure, is found. It is proved that the limit measure is the unique solution of the equilibrium problem in the theory of the logarithmic potential with an Angelesco matrix. The effect of pushing some zeros off the real axis to some curve in the complex plane is discovered. An explicit form of the limit measure in terms of algebraic functions is given.

Bibliography: 10 titles.

研究了Weyl函数及其导数的第二类Hermite-Pad近似值。Weyl函数是根据正交Meixner多项式构造的。找到这些近似值的公分母的零的极限分布，它们是离散量度的多个正交多项式。证明了极限度量是对角势理论中具有安那斯科矩阵的平衡问题的唯一解。发现将零从实轴推到复杂平面中的某些曲线的效果。给出了以代数函数表示的极限测度的一种形式。

参考书目：10种。