On the complex zeros of Airy and Bessel functions and those of their derivatives
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2014-06-09Derechos
Electronic version of an article published as Analysis and Applications, Vol. 12, No. 5, 2014, pp. 537–561, DOI: 10.1142/S0219530514500341 © World Scientific Publishing Company. http://www.worldscientific.com/toc/aa/12/05"
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Analysis and Applications, Vol. 12, No. 5 (2014) 537–561
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World Scientific
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Resumen/Abstract
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.