Geodesic
Determination of closed expressions for the perturbation theory corrections to the wave functions of bound states by means of a~Sturm function expansion
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 224-232

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By summation of expansions with respect to a complete system of eigenfunctions of a Sturm–Liouville type operatorwith only a discrete spectrum, closed expressions are obtained for the first- and second-order perturbation corrections to the wave function of an arbitrary bound state of an electron in a Coulomb field in the presence of a centrally symmetric perturbing potential. 
@article{TMF_1974_21_2_a7,
     author = {A. I. Sherstyuk},
     title = {Determination of closed expressions for the perturbation theory corrections to the wave functions of bound states by means of {a~Sturm} function expansion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {224--232},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a7/}
}
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A. I. Sherstyuk. Determination of closed expressions for the perturbation theory corrections to the wave functions of bound states by means of a~Sturm function expansion. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 224-232. http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a7/