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},
year = {1988},
volume = {74},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a9/}
}
TY - JOUR AU - L. S. Davtyan AU - G. S. Pogosyan AU - A. N. Sisakyan AU - V. M. Ter-Antonyan TI - Transformations between parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 240 EP - 246 VL - 74 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a9/ LA - ru ID - TMF_1988_74_2_a9 ER -
%0 Journal Article %A L. S. Davtyan %A G. S. Pogosyan %A A. N. Sisakyan %A V. M. Ter-Antonyan %T Transformations between parabolic bases of the two-dimensional hydrogen atom in the continuous spectrum %J Teoretičeskaâ i matematičeskaâ fizika %D 1988 %P 240-246 %V 74 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a9/ %G ru %F TMF_1988_74_2_a9
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/
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