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arXiv · 2410.23201

Some addition theorems for spin-weighted spherical harmonics

Alessandro Monteverdi·Elizabeth Winstanley
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Abstract

We present some addition theorems for spin-weighted spherical harmonics, generalizing previous results for scalar (spin-zero) spherical harmonics. These addition theorems involve sums over the azimuthal quantum number of products of two spin-weighted spherical harmonics at different points on the two-sphere, either (or both) of which are differentiated with respect to one of their arguments.

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Alessandro Monteverdi, Elizabeth Winstanley. 2025-01-18. Some addition theorems for spin-weighted spherical harmonics. https://arxiv.org/abs/2410.23201

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