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. 
F.A. Chishtie, K.M. Rao, I.S. Kotsireas, S.R. Valluri