Open Access. Powered by Scholars. Published by Universities.®
![Digital Commons Network](http://assets.bepress.com/20200205/img/dcn/DCsunburst.png)
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Physical Sciences and Mathematics
On An Extension Of Abel-Gontscharoff's Expansion Formula, Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue
On An Extension Of Abel-Gontscharoff's Expansion Formula, Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue
Tian-Xiao He
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.