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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