21 research outputs found
An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars
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