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.

Rational Chebyshev Approximations for the Bickley Functions $Ki_n(x)$

J. M. Blair, C. A. Edwards and J. H. Johnson
Mathematics of Computation
Vol. 32, No. 143 (Jul., 1978), pp. 876-886+s1-s12
DOI: 10.2307/2006492
Stable URL: http://www.jstor.org/stable/2006492
Page Count: 23
  • 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.
Rational Chebyshev Approximations for the Bickley Functions $Ki_n(x)$
Preview not available

Abstract

This report presents near-minimax rational approximations for the Bickley functions $Ki_1(x)$ for $x \geqslant 0, Ki_2(x)$ and $Ki_3(x)$ for $0 \leqslant x \leqslant 6$, and Ki_8(x), Ki_9(x)$ and $Ki_{10}(x)$ for $x \geqslant 6$, with relative errors ranging down to $10^{-23}$. The approximations, combined with the recurrence relation, yield a stable method of computing $Ki_n(x), n = 1, 2,\ldots, 10$, for the complete range of the argument.

Page Thumbnails

  • Thumbnail: Page 
876
    876
  • Thumbnail: Page 
877
    877
  • Thumbnail: Page 
878
    878
  • Thumbnail: Page 
879
    879
  • Thumbnail: Page 
880
    880
  • Thumbnail: Page 
881
    881
  • Thumbnail: Page 
882
    882
  • Thumbnail: Page 
883
    883
  • Thumbnail: Page 
884
    884
  • Thumbnail: Page 
885
    885
  • Thumbnail: Page 
886
    886
  • Thumbnail: Page 
s1
    s1
  • Thumbnail: Page 
s2
    s2
  • Thumbnail: Page 
s3
    s3
  • Thumbnail: Page 
s4
    s4
  • Thumbnail: Page 
s5
    s5
  • Thumbnail: Page 
s6
    s6
  • Thumbnail: Page 
s7
    s7
  • Thumbnail: Page 
s8
    s8
  • Thumbnail: Page 
s9
    s9
  • Thumbnail: Page 
s10
    s10
  • Thumbnail: Page 
s11
    s11
  • Thumbnail: Page 
s12
    s12