Geodesic
On recurrence relations for radial wave functions for the $N$-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 7-23.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Using a general procedure for finding recurrence relations for hypergeometric functions and polynomials introduced by Cardoso et al. [J. Phys. A, 36 (2003), pp. 2055-2068] we obtain some new recurrence relations for the radial wave functions of the -th dimensional isotropic harmonic oscillators as well as the hydrogenlike $$###$$ atoms. A numerical analysis of such recurrences is also presented.
Classification : 33C45, 11B37, 81V45, 81Q99
Keywords: wave functions, linear recurrence relations, Laguerre polynomials 
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     author = {\'Alvarez-Nodarse, R. and Cardoso, J.L. and Quintero, N.R.},
     title = {On recurrence relations for radial wave functions for the $N$-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study},
     journal = {Electronic transactions on numerical analysis},
     pages = {7--23},
     publisher = {mathdoc},
     volume = {24},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a10/}
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Álvarez-Nodarse, R.; Cardoso, J.L.; Quintero, N.R. On recurrence relations for radial wave functions for the $N$-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study. Electronic transactions on numerical analysis, Tome 24 (2006), pp. 7-23. http://geodesic.mathdoc.fr/item/ETNA_2006__24__a10/