School of Mathematics, University of the Witwatersrand, Private Bag 3, PO WITS 2050, Johannesburg, South Africa
Copyright © 2010 Sonja Currie and Anne D. Love. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation. We also show how Dirichlet and non-Dirichlet boundary conditions transform as well as how the spectra and norming constants are affected.