Applied Mathematics Publications
Investigation of Uniform Expansions of Large Order Bessel Functions in Gravitational Wave Signals
Document Type
Article
Publication Date
2008
Journal
International Journal of Modern Physics D
Volume
17
Issue
8
First Page
1197
Last Page
1212
URL with Digital Object Identifier
http://dx.doi.org/10.1142/S0218271808012760
Abstract
In this work, we extend the analytic treatment of Bessel functions of large order and/or argument. We examine uniform asymptotic Bessel function expansions and show their accuracy and range of validity. Such situations arise in a variety of applications, particularly the Fourier transform (FT) of the gravitational wave (GW) signal from a pulsar, global parameter space correlations of a coherent matched filtering search for continuous GWs from isolated neutron stars and tomographic reconstruction of GW LISA sources. The uniform expansion we consider here is found to be valid in the entire range of the argument.
