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Some explicit formulae in simultaneous Padé approximation. (English) Zbl 0556.65006
Using some old results on the explicit calculation of determinants, explicit formulae are derived for the coefficients of the denominators Q and the remainders \(Qf_ i-P_ i\) for the simultaneous Padé approximants to two n-tuples of hypergeometric series.

MSC:
65D15 Algorithms for approximation of functions
41A21 Padé approximation
41A28 Simultaneous approximation
15A15 Determinants, permanents, traces, other special matrix functions
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