On an Extension of Abel-Gontscharoff's Expansion Formula

Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue

Research output: Journal ArticleArticlepeer-review


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.

Original languageAmerican English
JournalAnalysis in Theory and Applications
StatePublished - 2005


  • Abel-Gontscharoff’s Expansion Formula
  • Abel-Gontscharoff-Gould polynomial
  • multivariate Abel- Gontscharoff interpolation
  • higher dimensional dot product annihilation coefficients.


  • Applied Mathematics
  • Mathematics

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