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On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions

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URI: https://hdl.handle.net/10016/32647
ISSN: 1660-5446
DOI: https://doi.org/10.1007/s00009-020-01588-2
UXXI: AR/0000026948
UXXI: AR/0000032948
UXXI: AR/0000032948
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Convergence_MJM_2020_ps.pdf (612.75 KB)
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2020-10
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Springer Nature
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Abstract
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.
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Published 07 September 2021: Correction to: On the Convergence of Multi-Level Hermite&-Padé Approximants for a Class of Meromorphic Functions (Mediterr. J. Math. 18, 219 (2021). In the original publication, the surname of the Author "L. G. González Ricardo" was inadvertently swapped. The correct Author group has been provided below: L. G. González Ricardo, G. López Lagomasino and S. Medina Peralta
Keywords
Nikishin system, Multiple orthogonal polynomials, Hermite-Padé approximation
Bibliographic citation
Ricardo González, L. G., Lagomasino, G. L. & Peralta, S. M. (2020). On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions. Mediterranean Journal of Mathematics, 17(5), 149.
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