On a partial converse of the Montessus de Ballore theorem in \({\mathbb{C}}^ n\)

DOI10.1016/0021-9045(84)90063-7zbMath0533.41012OpenAlexW2047074995MaRDI QIDQ789630

Clement H. Lutterodt

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90063-7

zbMATH Keywords

meromorphicityMontessus de Ballore theoremunisolvent rational approximant

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (5)

On the convergence of certain sequences of rational approximants to meromorphic functions in several variables ⋮ Approximation and interpolation on complex algebraic varieties in pseudoconvex domains ⋮ Convergence of the nested multivariate Padé approximants ⋮ Generalized multivariate Padé approximants ⋮ On rational interpolation to meromophic functions in several variables

Cites Work

• Rational approximants to holomorphic functions in \(n\)-dimensions
• Inequalities expressing degree of convergence of rational functions
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