A note concerning fundamental functions of interpolation associated to the inverse multiquadric $({\alpha }^2+x^2{)}^{-k}$

Jeff Ledford, Kyle Rutherford

This short note develops fundamental functions associated with the scattered shifts of the inverse \emph{multiquadric} function $({\alpha }^2+x^2{)}^{-k}$, for $k\in \mathbb{N}$.