Hermite-Pade Approximation to a Nikishin Type System of Meromorphic Functions Original Research Article

Nikishin type systems of meromorphic functions whose poles lie symmetrically with respect to the real axis are considered. For such systems, it is shown that the main diagonal of the associated Hermite-Pade approximants converges and the poles are located by the zeros of the corresponding denominators. An interesting feature is that multipoint Pade approximation plays a key role in the proof.