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Journal Article

# Common Zeros of Two Bessel Functions Part II. Approximations and Tables

T. C. Benton
Mathematics of Computation
Vol. 41, No. 163 (Jul., 1983), pp. 203-217
DOI: 10.2307/2007777
Stable URL: http://www.jstor.org/stable/2007777
Page Count: 15

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## Abstract

In [1] it was shown that two Bessel functions $J_\nu(x), J_\mu(x)$ could have two zeros which were common to both functions, and a computer program was made which takes approximate values of $\nu, \mu$ and $j_{\nu,k} = j_{\mu,h}$ and $j_{\nu,k + n} = j_{\mu,h + m}$ and from them computes the exact values. Here it will be shown how to find the necessary approximate values to initiate the computation. A table of the smaller ratios $m: n$ with the orders of the functions less than one hundred is given.

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