1307.6470 (Felix Finster et al.)

Refined Error Estimates for the Riccati Equation with Applications to
the Angular Teukolsky Equation    [PDF]

Felix Finster, Joel Smoller

We derive refined rigorous error estimates for approximate solutions of Sturm-Liouville and Riccati equations with real or complex potentials. The approximate solutions include WKB approximations, Airy and parabolic cylinder functions, and certain Bessel functions. Our estimates are applied to solutions of the angular Teukolsky equation with a complex aspherical parameter in a rotating black hole Kerr geometry.

View original: http://arxiv.org/abs/1307.6470