Integral equations for the spin-weighted spheroidal wave function
广义相对论与量子宇宙学
2009-11-10 v2
摘要
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.
引用
@article{arxiv.gr-qc/0411087,
title = {Integral equations for the spin-weighted spheroidal wave function},
author = {Guihua Tian},
journal= {arXiv preprint arXiv:gr-qc/0411087},
year = {2009}
}