Efficient calculation of Clausen's integral

Author:
Van E. Wood

Journal:
Math. Comp. **22** (1968), 883-884

MSC:
Primary 65.25

DOI:
https://doi.org/10.1090/S0025-5718-1968-0239733-9

MathSciNet review:
0239733

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References | Similar Articles | Additional Information

**[1]**L. Lewin,*Dilogarithms and associated functions*, Foreword by J. C. P. Miller, Macdonald, London, 1958. MR**0105524****[2]**B. I. Lundqvist, "Single-particle spectrum of the degenerate electron gas. I,"*Physik der kondensierten Materie*, v. 6, 1967, pp. 193-205.**[3]**A. Ashour and A. Sabri,*Tabulation of the function 𝜓(𝜃)=∑^{∞}_{𝑛=1}sin𝑛𝜃/𝑛²*, Math. Tables Aids Comput.**10**(1956), 57–65. MR**0081003**, https://doi.org/10.1090/S0025-5718-1956-0081003-8**[4]**Milton Abramowitz and Irene A. Stegun (eds.),*Handbook of mathematical functions with formulas, graphs, and mathematical tables*, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York; John Wiley & Sons, Inc., New York, 1984. Reprint of the 1972 edition; Selected Government Publications. MR**757537**

Irene A. Stegun (ed.),*Pocketbook of mathematical functions*, Verlag Harri Deutsch, Thun, 1984. Abridged edition of Handbook of mathematical functions edited by Milton Abramowitz and Irene A. Stegun; Material selected by Michael Danos and Johann Rafelski. MR**768931****[5]**C. W. Clenshaw, "Chebyshev series for mathematical functions," in*National Physical Laboratory Mathematical Tables*, Vol. 5, HMSO, London, 1962. MR**26**#362.**[6]**M. L. Glasser, "Some integrals of the arctangent function,"*Math. Comp.*, v. 22, 1968, pp. 445-447.

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DOI:
https://doi.org/10.1090/S0025-5718-1968-0239733-9

Article copyright:
© Copyright 1968
American Mathematical Society