2013•LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)Open access

A generating function for the spherical harmonics in p dimensions

G. F. Torres del Castillo

Abstract

A generating function for the spherical harmonics in three or more dimensions is given. This function allows us to find in a simple manner the explicit expressions for the spherical harmonics in three dimensions. The generating functions for the spherical harmonics given here are analogous to certain well-known generating functions for solutions of the wave equation.

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Available abstract

Key concepts: Spherical harmonics, Spin-weighted spherical harmonics, Zonal spherical harmonics, Solid harmonics, Harmonics, Vector spherical harmonics, Tensor operator, Function (biology)