Explicit construction of multivariate Padé approximants for a \(q\)-logarithm function

DOI10.1006/jath.1999.3409zbMath0945.41013OpenAlexW2068038588MaRDI QIDQ1971643

Ping Zhou

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3409

zbMATH Keywords

functional equationmultivariate Padé approximants\(q\)-logarithm function

Mathematics Subject Classification ID

Padé approximation (41A21) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (2)

Explicit construction of general multivariate Padé approximants to an Appell function ⋮ General order multivariate Padé approximants for pseudo-multivariate functions

Cites Work

• 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
• Arithmetische Untersuchungen unendlicher Produkte
• On the irrationality of the infinite product ∞Π j=0 (1+q −j r+q −2j s)
• Unnamed Item

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