Geodesic
Transformations between parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 240-246

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Expansions in fundamental parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum are considered. Integral representations for the coefficients that determine such expansions are obtained. It is shown that these coefficients can be expressed in terms of the generalized hypergeometric functions ${}_3F_2$ of unit argument. 
@article{TMF_1988_74_2_a9,
     author = {L. S. Davtyan and G. S. Pogosyan and A. N. Sisakyan and V. M. Ter-Antonyan},
     title = {Transformations between parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {240--246},
     publisher = {mathdoc},
     volume = {74},
     number = {2},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a9/}
}
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L. S. Davtyan; G. S. Pogosyan; A. N. Sisakyan; V. M. Ter-Antonyan. Transformations between parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 240-246. http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a9/