Generating functions for spherical harmonics and spherical monogenics
Cerejeiras, Paula · Kaehler, Uwe · Lavicka, Roman
Original · EN
In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics in Rᵐ. Here spherical monogenics are polynomial solutions of the Dirac equation in Rᵐ. In particular, we obtain the recurrence formula which expresses the generating function in dimension m in terms of that in dimension m-1. Hence we can find closed formulae of generating functions in Rᵐ by induction on the dimension m.
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