We present a constructive generalization of Abel-Gontscharoff’s series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algorithms for the constructing the basis functions of the interpolants are given.
- Abel-Gontscharoff’s Expansion Formula,
- Abel-Gontscharoff-Gould polynomial,
- multivariate Abel- Gontscharoff interpolation,
- higher dimensional dot product annihilation coefficients.
Available at: http://works.bepress.com/tian_xiao_he/10/