Spherical Harmonic Addition Theorem

A Formula also known as the Legendre Addition Theorem which is derived by finding Green'sFunctions for the Spherical Harmonic expansion and equating them to the generating function forLegendre Polynomials. When is defined by

References

Arfken, G. ``The Addition Theorem for Spherical Harmonics.'' §12.8 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 693-695, 1985.

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