One-parameter isospectral special functions

Using a combination of the ladder operators of Piña [1] and the parametric operators of Mielnik [2] 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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Détails bibliographiques
Auteurs principaux: Reyes,M.A., Jimenez,D., Rosu,H.C.
Format: Digital revista
Langue:English
Publié: Sociedad Mexicana de Física 2003
Accès en ligne:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2003000400012
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Résumé:Using a combination of the ladder operators of Piña [1] and the parametric operators of Mielnik [2] 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.