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Exploring multivariate Padé approximants for multiple hypergeometric series. (English) Zbl 0926.41013

The authors investigate the construction of the multivariate Padé approximants for some hypergeometric functions of two variables: Appell functions, Gauss functions \(_2F_1(a,b;c,z), \dots\). The difference between the two types of multivariate Padé approximants is analysed. The normality of the table of homogeneous multivariate Padé approximants is also examinated.

MSC:

41A21 Padé approximation
41A63 Multidimensional problems
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