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arxiv: gr-qc/0409012 · v1 · pith:FN57KK4Bnew · submitted 2004-09-02 · 🌀 gr-qc

High Frequency Asymptotics for the Spin-Weighted Spheroidal Equation

classification 🌀 gr-qc
keywords equationfullyspheroidalspin-weightedanalyticangularasymptoticasymptotics
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We fully determine a uniformly valid asymptotic behaviour for large $a \omega$ and fixed $m$ of the angular solutions and eigenvalues of the spin-weighted spheroidal differential equation. We fully complement the analytic work with a numerical study.

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