Spectral parameter power series representation for Hill's discriminant
arXiv:1002.1514 · doi:10.1016/j.aop.2010.06.009
Abstract
We establish a series representation of the Hill discriminant based on the spectral parameter power series (SPPS) recently introduced by V. Kravchenko. We also show the invariance of the Hill discriminant under a Darboux transformation and employing the Mathieu case the feasibility of this type of series for numerical calculations of the eigenspectrum
13 pages, 2 figures, 19 references with titles, a few minor changes in the text