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Common zeros of two Bessel functions

Authors: T. C. Benton and H. D. Knoble
Journal: Math. Comp. 32 (1978), 533-535
MSC: Primary 33A40; Secondary 65D20
MathSciNet review: 0481160
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Abstract: There is a theorem that two Bessel functions $ {J_\mu }(x)$ and $ {J_\nu }(x)$ can have no common positive zeros if $ \mu $ is an integer and $ \nu = \mu + m$ where m is an integer, but this does not preclude the possibility that for unrestricted real positive $ \mu $ and $ \nu $ not differing by an integer, the two functions $ {J_\mu }(x)$ and $ {J_\nu }(x)$ can have common zeros. An example is found where two such functions have two positive zeros in common.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1978 American Mathematical Society