An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars

Details An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars

2006-11-01

arxiv.org/abs/astro-ph/0611035v1

Int.J.Mod.Phys.D17:1197-1212,2008

Astronomy and Astrophysics

Astrophysics

Scientific paper

10.1142/S0218271808012760

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, in particular the Fourier transform of the gravitational wave signal from a pulsar. The uniform expansion we consider here is found to be valid in the entire range of the argument.

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