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arxiv: 1207.2713 · v1 · pith:QUS44UJ3new · submitted 2012-07-11 · 🧮 math.CA · cs.NA· math-ph· math.MP· math.NA

Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators

classification 🧮 math.CA cs.NAmath-phmath.MPmath.NA
keywords spectraloperatorsparameterpowerproblemsseriestransmutationbrief
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We give a brief overview of recent developments in Sturm-Liouville theory concerning operators of transmutation (transformation) and spectral parameter power series (SPPS) and propose a new method for numerical solution of corresponding spectral problems.

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