Geodesic
The~confluent Heun equation with two singularities and the~modified Schr\"odinger equation with two accessory parameters
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 311-314

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In this article we establish a connection between the confluent Heun equation (with two singularities 0 and $\infty$) and the Schrödinger equation for the hydrogen atom with two accessory parameters $\mu$ and $\nu$, which “influence” the spectrum of eigenvalues and the Coulomb potential. 
@article{FPM_2000_6_1_a27,
     author = {V. F. Tarasov},
     title = {The~confluent {Heun} equation with two singularities and the~modified {Schr\"odinger} equation with two accessory parameters},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {311--314},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a27/}
}
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V. F. Tarasov. The~confluent Heun equation with two singularities and the~modified Schr\"odinger equation with two accessory parameters. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 311-314. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a27/