Geodesic
On completeness of hemispherical harmonics system
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 4, pp. 391-395 
V. V. Smelov. On completeness of hemispherical harmonics system. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 4, pp. 391-395. http://geodesic.mathdoc.fr/item/SJVM_1998_1_4_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Completeness of the hemispherical harmonics system is proved, and the exact formula for the square of their norm is found (simultaneously, the recursion formula for the Jacobi adjoined function is derived).

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