The present paper deals with the convergence properties of multi-level Hermite–Padé approximants for a class of meromorphic functions given by rational perturbations with real coefficients of a Nikishin system of functions, and study the zero location of the corresponding multiple orthogonal polynomials.

中文翻译：

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一类亚纯函数的多级Hermite-Padé逼近的收敛性

本文针对一类亚纯函数的多级Hermite-Padé逼近的收敛性质，该函数由具有Nikishin函数系统实系数的有理扰动给出，并研究了对应的多个正交多项式的零位。