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Spectral parameter power series representation for Hill's discriminant (1002.1514v4)
Published 8 Feb 2010 in math-ph and math.MP
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
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