Integral equations for the spin-weighted spheroidal wave function

Details Integral equations for the spin-weighted spheroidal wave function Integral equations for the spin-weighted spheroidal wave function

2004-11-17

arxiv.org/abs/gr-qc/0411087v2

Chin.Phys.Lett. 22 (2005) 3013

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0256-307X/22/12/008

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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