Spherical harmonic expansion of the Poisson-Szegő kernel for the ball

Folland, G. B.

doi:10.1090/S0002-9939-1975-0370044-2

Spherical harmonic expansion of the Poisson-Szegő kernel for the ball
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by G. B. Folland

Proc. Amer. Math. Soc. 47 (1975), 401-408

DOI: https://doi.org/10.1090/S0002-9939-1975-0370044-2

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Abstract:

By applying the theory of unitary spherical harmonics, we obtain an expansion of the Poisson-Szegö kernel for the unit ball in complex $n$-space in terms of Jacobi polynomials and hypergeometric functions.

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