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One-parameter isospectral special functions

2003/01/15 by M. A. Reyes, D. Jimenez, H. C. Rosu
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as Rev. Mex. Fis. 49 (Aug. 2003) 358-363 · 12 pages

arxiv created 2003/01/15 · arxiv updated 2009/11/30

Abstract

Using a combination of the ladder operators of Pina [Rev. Mex. Fis. 41 (1995) 913] and the parametric operators of Mielnik [J. Math. Phys. 25 (1984) 3387] we introduce second order linear differential equations whose eigenfunctions are isospectral to the special functions of the mathematical physics and illustrate the method with several key examples

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