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

A. Gil; J. Segura

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arxiv 1403.8113 v1 pith:7VRPFSZQ submitted 2014-03-31 math.CA

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

A. Gil , J. Segura This is my paper

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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.

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

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