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Some Birkhoff interpolation problems on the roots of unity

โœ Scribed by J. Fabrykowski; A. Sharma; H. Zassenhaus


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
1002 KB
Volume
65
Category
Article
ISSN
0024-3795

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Hermite Interpolation in the Roots of Un
โœ T.N.T. Goodman; K.G. Ivanov; A. Sharma ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 621 KB

We study the polynomial H r, n ( f, z) which interpolates an analytic function f and its derivatives up to order r&1 at the n th roots of unity. In particular we relate the vanishing of the coefficients of the highest powers of z in the Hermite interpolant H r, n ( f, z) with the vanishing at certai