Divergence of vector-valued rational interpolations to meromorphic functions

DOI10.1216/RMJM/1181073007zbMath0744.30030OpenAlexW2080530304MaRDI QIDQ1178586

Edward B. Saff, Peter R. Graves-Morris

Publication date: 26 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073007

zbMATH Keywords

rational interpolationmeromorphic functionH. Stahl

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (1)

A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure II

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• An extended cross rule for vector Padé approximants
• The divergence problem for multipoint Padé approximants of meromorphic functions
• Rational approximations corresponding to Newton series (Newton-Padé approximants)
• An extension of Saff's theorem on the convergence of interpolating rational functions
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• The decomposition of coefficients of power-series and the divergence of interpolation polynomials
• On interpolations of analytic functions, I. (Preliminaries)
• RELATIONS FOR THE COEFFICIENTS, AND SINGULAR POINTS OF A FUNCTION
• POLES OF ROWS OF THE PADÉ TABLE AND MEROMORPHIC CONTINUATION OF FUNCTIONS
• ON THE CONVERGENCE OF GENERALIZED PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONS

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