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Integral equations for the spin-weighted spheroidal wave function

Guihua Tian
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Abstract

Integral equations for the spin-weighted spheroidal wave functions is given. For the prolate spheroidal wave function with m=0, there exists the integral equation whose kernel is(sin x)/x, and the sinc function kernel (sin x)/x is of great mathematical significance. In the paper, we also extend the similar sinc function kernel (sin x)/x to the case m and s both are not zero, which interestingly turn out as some kind of Hankel transformation.

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Guihua Tian. 2004-11-25. Integral equations for the spin-weighted spheroidal wave function. https://doi.org/10.1088/0256-307x%2F22%2F12%2F008

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