Explicit construction of multivariate Padé approximants

DOI10.1016/S0377-0427(96)00095-7zbMath0865.41018OpenAlexW2025469922MaRDI QIDQ678807

Ping Zhou

Publication date: 27 April 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00095-7

zbMATH Keywords

multivariate Padé approximants

Mathematics Subject Classification ID

Padé approximation (41A21)

Related Items (9)

Unnamed Item ⋮ Two-dimensional generalized moment representations and rational approximations of functions of two variables ⋮ Explicit construction of multivariate Padé approximants for a \(q\)-logarithm function ⋮ Comparing numerical methods for solving time-fractional reaction-diffusion equations ⋮ Explicit construction of general multivariate Padé approximants to an Appell function ⋮ Multivariate Padé approximants to a meromorphic function ⋮ General order multivariate Padé approximants for pseudo-multivariate functions ⋮ Multivariate Padé approximants associated with functional relations ⋮ How well can the concept of Padé approximant be generalized to the multivariate case?

Cites Work

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• Multivariate Padé-approximants
• A multivariate convergence theorem of the ``de Montessus de Ballore type
• Padé approximants for operators: theory and applications
• Padé approximants for the q-elementary functions
• Nuttall-Pommerenke theorems for homogeneous Padé approximants
• A direct approach to convergence of multivariate, nonhomogeneous, Padé approximants
• A LOCAL CONDITION FOR THE SINGLE-VALUEDNESS OF ANALYTIC FUNCTIONS OF SEVERAL VARIABLES

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