Geodesic
Hypergeometric partial solutions in the problem of two Coulomb centers
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 263-266

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It is shown that for $m=1$, $\lambda=(z_1\pm z_2)R$ the Coulomb spheroidal functions can be expressed in terms of Whittaker functions. New partial solutions are constructed in the problem of two Coulomb centers. 
@article{TMF_1979_38_2_a10,
     author = {Yu. N. Demkov and I. V. Komarov},
     title = {Hypergeometric partial solutions in the problem of two {Coulomb} centers},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {263--266},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a10/}
}
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Yu. N. Demkov; I. V. Komarov. Hypergeometric partial solutions in the problem of two Coulomb centers. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 263-266. http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a10/