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Multivariate Padé approximants to a meromorphic function

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Publication:5948565
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DOI10.1016/S0377-0427(00)00574-4zbMath0991.41010MaRDI QIDQ5948565

Ping Zhou

Publication date: 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

convergence of approximantsexplicit representation of approximantsmultivariate Padé approximant


Mathematics Subject Classification ID

Padé approximation (41A21) Multidimensional problems (41A63)




Cites Work

  • Unnamed Item
  • Explicit construction of multivariate Padé approximants
  • A multivariate convergence theorem of the ``de Montessus de Ballore type
  • Rationale Approximation des \(q\)-Analogons der Exponentialfunktion und Irrationalitätsaussagen für diese Funktion. (Rational approximation of the \(q\)-analogue of the exponential function and irrationality statements for this function)
  • Padé approximants for operators: theory and applications
  • Multivariate Padé approximants revisited
  • Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
  • Multivariate Padé approximants associated with functional relations
  • Padé approximants for the q-elementary functions
  • Nuttall-Pommerenke theorems for homogeneous Padé approximants
  • Arithmetische Untersuchungen unendlicher Produkte
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