Common zeros of two Bessel functions
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- by T. C. Benton and H. D. Knoble PDF
- Math. Comp. 32 (1978), 533-535 Request permission
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
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Math. Comp. 32 (1978), 533-535
- MSC: Primary 33A40; Secondary 65D20
- DOI: https://doi.org/10.1090/S0025-5718-1978-0481160-X
- MathSciNet review: 0481160