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Bessel function Jν(z) of complex order and its zeros

Published online by Cambridge University Press:  24 October 2008

Laurence S. Hall
Laurence S. Hall
Affiliation:
Lawrence Radiation Laboratory, University of California, Livermore, California
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Abstract

Methods are developed for the computation of the complex zeros of (½z)−νJν(z) when the index ν is an arbitrary complex number. These methods, which do not require an explicit knowledge of the Jv(z), are susceptible to rapid numerical evaluation on a computer. Beyond the interest in the zeros in their own right, these methods now make feasible the use of the infinite product representation of Jν(z) for the rapid computation of Bessel functions of complex order.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 141 - 146
Copyright
Copyright © Cambridge Philosophical Society 1967

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