If you need an accessible version of this item please contact JSTOR User Support

On the Numerical Evaluation of Legendre's Chi-Function

J. Boersma and J. P. Dempsey
Mathematics of Computation
Vol. 59, No. 199 (Jul., 1992), pp. 157-163
DOI: 10.2307/2152987
Stable URL: http://www.jstor.org/stable/2152987
Page Count: 7
  • Download PDF
  • Cite this Item

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 need an accessible version of this item please contact JSTOR User Support
On the Numerical Evaluation of Legendre's Chi-Function
Preview not available

Abstract

Legendre's chi-function, χn(z) = ∑k = 0 z2k + 1/(2k + 1)n, is reexpanded in a power series in powers of log z. The expansion obtained is well suited for the computation of χn(z) in the two cases of real z close to 1, and z = e, α ∈ R. For n = 2 and n = 3, the present computational procedure recently proposed by Dempsey, Liu, and Dempsey, which uses Plana's summation formula.

Page Thumbnails

  • Thumbnail: Page 
157
    157
  • Thumbnail: Page 
158
    158
  • Thumbnail: Page 
159
    159
  • Thumbnail: Page 
160
    160
  • Thumbnail: Page 
161
    161
  • Thumbnail: Page 
162
    162
  • Thumbnail: Page 
163
    163