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arxiv: 1403.8113 · v1 · pith:7VRPFSZQnew · submitted 2014-03-31 · 🧮 math.CA

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

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keywords zerosairybesselcomplexcharacterizederivativesdeterminedistribution
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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.

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