Geodesic
Orthonormal basis of hyperspherical harmonics for three identical particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 84-93

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The basis of hyperspherical harmonics with quantum numbers of the "$SU(3)$ scheme" constructed earlier in the required form is analytically orthonormalized by means of an obtained recursion relation of the $L-1\to L$ type for the overlap integrals of the basis hyperspherical harmonics. The recursion relations and explicit expressions obtained earlier for calculating the basis hyperspherical harmonics are also represented in a simpler form. 
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     author = {M. I. Mukhtarova and V. D. Efros},
     title = {Orthonormal basis of hyperspherical harmonics for three identical particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {1979},
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M. I. Mukhtarova; V. D. Efros. Orthonormal basis of hyperspherical harmonics for three identical particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 84-93. http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a7/