Cuyt, A. Extension of “A multivariate convergence theorem of the “de Montessus de Ballore” type” to multipoles. (English) Zbl 0756.41023 J. Comput. Appl. Math. 41, No. 3, 323-330 (1992). Summary: We proved [ibid. 32, No. 1/2, 47-57 (1990; Zbl 0715.41023)] a multivariate version of the de Montessus de Ballore theorem stating the convergence of general order Padé approximants for multivariate meromorphic functions with so-called “simple” poles. That result is extended here to the case of “multipoles”. Cited in 9 Documents MSC: 41A21 Padé approximation Keywords:multipoles; Montessus de Ballore theorem; Padé approximants; multivariate meromorphic functions Citations:Zbl 0715.41023 PDFBibTeX XMLCite \textit{A. Cuyt}, J. Comput. Appl. Math. 41, No. 3, 323--330 (1992; Zbl 0756.41023) Full Text: DOI References: [1] Cuyt, A., Multivariate Padé approximants revisited, BIT, 26, 71-79 (1986) · Zbl 0622.65011 [2] Cuyt, A., A multivariate convergence theorem of the “de Montessus de Ballore” type, J. Comput. Appl. Math., 32, 1&2, 47-57 (1990) · Zbl 0715.41023 [3] Gunning, R.; Rossi, H., Analytic Functions of Several Complex Variables (1965), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0141.08601 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.