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Selected Works of Tian-Xiao He
Article
On an Extension of Abel-Gontscharoff's Expansion Formula
Analysis in Theory and Applications (2005)
  • Tian-Xiao He, Illinois Wesleyan University
  • Leetsch C. Hsu, Dalian University of Technology
  • Peter J.-S. Shiue
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Abstract

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.

Keywords
  • Abel-Gontscharoff’s Expansion Formula,
  • Abel-Gontscharoff-Gould polynomial,
  • multivariate Abel- Gontscharoff interpolation,
  • higher dimensional dot product annihilation coefficients.
Disciplines
Publication Date
2005
Publisher Statement
Analysis in Theory and Applications is published by the Department of Education of Jiangsu Province and Nanjing University, http://www.global-sci.org/ata/.
Citation Information
Tian-Xiao He, Leetsch C. Hsu and Peter J.-S. Shiue. "On an Extension of Abel-Gontscharoff's Expansion Formula" Analysis in Theory and Applications Vol. 21 (2005)
Available at: http://works.bepress.com/tian_xiao_he/10/