Abstract
We shall present short proofs for type II (simultaneous) Hermite–Padé approximations of the generalized hypergeometric and q-hypergeometric series
where P and Q are polynomials. Further, a comparison is made between the remainder series approximations of the exponential series (Prévost and Rivoal) and recent modified approximations of a q-analog of the exponential series.
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Communicated by Erik Koelink.
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Matala-aho, T. Type II Hermite–Padé Approximations of Generalized Hypergeometric Series. Constr Approx 33, 289–312 (2011). https://doi.org/10.1007/s00365-010-9111-x
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DOI: https://doi.org/10.1007/s00365-010-9111-x