One-parameter isospectral special functions
Mathematical Physics
2007-05-23 v1 math.MP
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
Cite
@article{arxiv.math-ph/0301022,
title = {One-parameter isospectral special functions},
author = {M. A. Reyes and D. Jimenez and H. C. Rosu},
journal= {arXiv preprint arXiv:math-ph/0301022},
year = {2007}
}
Comments
12 pages