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

F. A. Chishtie·K. M. Rao·I. S. Kotsireas·S. R. Valluri
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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, 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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F. A. Chishtie, K. M. Rao, I. S. Kotsireas, S. R. Valluri. 2006-11-01. An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars. https://doi.org/10.1142/s0218271808012760

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