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

Jeff Ledford, Kyle Rutherford

Published: 2025/9/11

Abstract

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