Geodesic
Hypergeometric partial solutions in the problem of two Coulomb centers
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 263-266 
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/
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     author = {Yu. N. Demkov and I. V. Komarov},
     title = {Hypergeometric partial solutions in the problem of two {Coulomb} centers},
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     volume = {38},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] I. V. Komarov, L. I. Ponomarev, S. Yu. Slavyanov, Sferoidalnye i kulonovskie sferoidalnye funktsii, «Nauka», 1976 | MR | Zbl

[2] P. F. Truskova, Preprint OIYaI R11-10207, Dubna, 1976

[3] L. I. Ponomarev, L. N. Somov, J. Comp. Phys., 20 (1976), 183 | DOI | MR

[4] Yu. N. Demkov, Pisma ZhETF, 7, 3; (1968), 101 | MR

[5] D. I. Abramov, I. V. Komarov, TMF, 29 (1976), 235 | MR | Zbl