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arXiv:1403.8113 [math.CA]AbstractReferencesReviewsResources

On the complex zeros of Airy and Bessel functions and those of their derivatives

A. Gil, J. Segura

Published 2014-03-31Version 1

We study the distribution of zeros of general solutions of the Airy and Bessel equations in the complex plane. Our results characterize the patterns followed by the zeros for any solution, in such a way that if one zero is known it is possible to determine the location of the rest of zeros.

Comments: Accepted for publication in Analysis and Applications
Categories: math.CA
Subjects: 33C10, 34E05, 34M10
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