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
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

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atoms. A numerical analysis of such recurrences is also presented.
Classification : 33C45, 11B37, 81V45, 81Q99
Keywords: wave functions, linear recurrence relations, Laguerre polynomials 
@article{ETNA_2006__24__a10,
     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},
     year = {2006},
     volume = {24},
     zbl = {1109.33009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a10/}
}
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AU  - Cardoso,  J.L.
AU  - Quintero,  N.R.
TI  - On recurrence relations for radial wave functions for the \(N\)-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study
JO  - Electronic transactions on numerical analysis
PY  - 2006
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EP  - 23
VL  - 24
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__24__a10/
LA  - en
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%0 Journal Article
%A Álvarez-Nodarse,  R.
%A Cardoso,  J.L.
%A Quintero,  N.R.
%T On recurrence relations for radial wave functions for the \(N\)-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study
%J Electronic transactions on numerical analysis
%D 2006
%P 7-23
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%U http://geodesic.mathdoc.fr/item/ETNA_2006__24__a10/
%G en
%F ETNA_2006__24__a10
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/