This article is cited in 4 papers

On completeness of hemispherical harmonics system

V. V. Smelov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: 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).

UDC: 517.564

Received: 19.06.1998

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