The Analysis of Large Order Bessel Functions in Gravitational Wave Signals from Pulsars

Details The Analysis of Large Order Bessel Functions in Gravitational Wave Signals from Pulsars The Analysis of Large Order Bessel Functions in Gravitational Wave Signals from Pulsars

2005-03-15

arxiv.org/abs/math-ph/0503037v1

Physics

Mathematical Physics

8 pages, Uses IEEE style files: Ieee.cls, Ieee.clo and floatsty.sty. Accepted for publication in High Performance Computing Sy

Scientific paper

In this work, we present the analytic treatment of the large order Bessel functions that arise in the Fourier Transform (FT) of the Gravitational Wave (GW) signal from a pulsar. We outline several strategies which employ asymptotic expansions in evaluation of such Bessel functions which also happen to have large argument. Large order Bessel functions also arise in the Peters-Mathews model of binary inspiralling stars emitting GW and several problems in potential scattering theory. Other applications also arise in a variety of problems in Applied Mathematics as well as in the Natural Sciences and present a challenge for High Performance Computing(HPC).

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