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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On the numerical evaluation of Legendre’s chi-function
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by J. Boersma and J. P. Dempsey PDF
Math. Comp. 59 (1992), 157-163 Request permission


Legendre’s chi-function, ${\chi _n}(z) = \Sigma _{k = 0}^\infty {z^{2k + 1}}/{(2k + 1)^n}$, is reexpanded in a power series in powers of $\log z$. The expansion obtained is well suited for the computation of ${\chi _n}(z)$ in the two cases of real z close to 1, and $z = {e^{i\alpha }},\alpha \in \mathbb {R}$. For $n = 2$ and $n = 3$, the present computational procedure is shown to be superior to the procedure recently proposed by Dempsey, Liu, and Dempsey, which uses Plana’s summation formula.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 59 (1992), 157-163
  • MSC: Primary 65B10
  • DOI:
  • MathSciNet review: 1134715