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Abstract
1
Introduction
2
Basic Formulae for the Black Hole Perturbation
3
Post-Newtonian Expansion of the Regge-Wheeler Equation
4
Analytic Solutions of the Homogeneous Teukolsky Equation by Means of the Series Expansion of Special Functions
5
Gravitational Waves from a Particle Orbiting a Black Hole
6
Conclusion
7
Acknowledgements
References