Abstract
For an example where the functions have different branch points we derive the asymptotics of diagonal Hermite-Padé polynomials of type I. The method uses an integral equation obtained by approximating a reproducing kernel. The results are consistent with a new conjecture on the asymptotics of the polynomials associated with more general functions with different branch points.
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Communicated by J. Milne Anderson.
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Nuttall, J., Trojan, G.M. Asymptotics of Hermite-Padé polynomials for a set of functions with different branch points. Constr. Approx 3, 13–29 (1987). https://doi.org/10.1007/BF01890550
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DOI: https://doi.org/10.1007/BF01890550