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One-parameter isospectral special functions

M. A. Reyes, D. Jimenez, H. C. Rosu

math-pharXiv:math-ph/0301022

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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