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

✍ Scribed by J. Nuttall; G. M. Trojan

Publisher
Springer
Year
1987
Tongue
English
Weight
691 KB
Volume
3
Category
Article
ISSN
0176-4276

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When two or more branches of a function merge, the Chebyshev series of u(λ) will converge very poorly with coefficients a n of T n (λ) falling as O(1/n α ) for some small positive exponent α. However, as shown in [J.P. Boyd, Chebyshev polynomial expansions for simultaneous approximation of two branc