Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

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
  • Read Online (Free)
  • Download ($34.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Common Zeros of Two Bessel Functions Part II. Approximations and Tables
Preview not available

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.

Page Thumbnails

  • Thumbnail: Page 
203
    203
  • Thumbnail: Page 
204
    204
  • Thumbnail: Page 
205
    205
  • Thumbnail: Page 
206
    206
  • Thumbnail: Page 
207
    207
  • Thumbnail: Page 
208
    208
  • Thumbnail: Page 
209
    209
  • Thumbnail: Page 
210
    210
  • Thumbnail: Page 
211
    211
  • Thumbnail: Page 
212
    212
  • Thumbnail: Page 
213
    213
  • Thumbnail: Page 
214
    214
  • Thumbnail: Page 
215
    215
  • Thumbnail: Page 
216
    216
  • Thumbnail: Page 
217
    217