Geodesic
Quasipotential wave functions of a relativistic harmonic oscillator and Pollaczek polynomials
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 254-260 Cet article a éte moissonné depuis la source Math-Net.Ru

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To construct the radial part of the wave function in the quasipotential model of a relativistic harmonic oscillator, modified Pollaczek polynomials $\mathscr{P}_n^{\lambda;l}(r)$ with parameters $\lambda>0$ and $l=0,1,2,\dots$ are introduced. An orthogonality condition, the generating function, and various recursion relations are obtained. It is shown that in the limiting case when $\lambda\rightarrow\infty$ the polynomials $\mathscr{P}_n^{\lambda;l}(r)$ go over into generalized Laguerre polynomials. 
@article{TMF_1984_58_2_a10,
     author = {N. M. Atakishiyev},
     title = {Quasipotential wave functions of a relativistic harmonic oscillator and {Pollaczek} polynomials},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {254--260},
     year = {1984},
     volume = {58},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a10/}
}
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N. M. Atakishiyev. Quasipotential wave functions of a relativistic harmonic oscillator and Pollaczek polynomials. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 254-260. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a10/

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