On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions

On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions

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 polynom...

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Veröffentlicht in:Mediterranean journal of mathematics 2020-10, Vol.17 (5), Article 149
Hauptverfasser: Ricardo González, L. G., Lagomasino, G. López, Peralta, S. Medina
Format: Artikel
Sprache:eng
Schlagworte:
Approximants
Convergence
Mathematical analysis
Mathematics
Mathematics and Statistics
Meromorphic functions
Pade approximation
Polynomials
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Zusammenfassung: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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-020-01588-2