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Asymptotics of Hermite-Padé polynomials for a set of functions with different branch points (1987)

Nuttall, J. ; Trojan, G. M.

Springer

Constructive approximation 3 (1987), S. 13-29

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ISSN: 1432-0940

Keywords: Hermite-Padé ; Reproducing kernel ; Polynomial ; Asymptotic ; Integral equation ; 30E15 ; 41A21

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01890550

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