Efficient calculation of Clausen's integral
Author:
Van E. Wood
Journal:
Math. Comp. 22 (1968), 883884
MSC:
Primary 65.25
MathSciNet review:
0239733
Fulltext PDF Free Access
References 
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Additional Information
 [1]
L.
Lewin, Dilogarithms and associated functions, Foreword by J.
C. P. Miller, Macdonald, London, 1958. MR 0105524
(21 #4264)
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B. I. Lundqvist, "Singleparticle spectrum of the degenerate electron gas. I," Physik der kondensierten Materie, v. 6, 1967, pp. 193205.
 [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
(18,339c), http://dx.doi.org/10.1090/S00255718195600810038
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Milton
Abramowitz and Irene
A. Stegun (eds.), Handbook of mathematical functions with formulas,
graphs, and mathematical tables, A WileyInterscience Publication,
John Wiley & Sons Inc., New York, 1984. Reprint of the 1972 edition;
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 [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. 445447.
 [1]
 L. Lewin, Dilogarithms and Associated Functions, Macdonald, London, 1958. MR 21 #4264. MR 0105524 (21:4264)
 [2]
 B. I. Lundqvist, "Singleparticle spectrum of the degenerate electron gas. I," Physik der kondensierten Materie, v. 6, 1967, pp. 193205.
 [3]
 A. A. Ashour & A. Sabri, "Tabulation of the function ," Math. Comp., v. 10, 1956, pp. 5765. MR 18, 339. MR 0081003 (18:339c)
 [4]
 M. Abramowitz & I. A. Stequn (Editors), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Appl. Math. Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964, pp. 10051006. MR 29 #4914. MR 757537 (85j:00005a)
 [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. 445447.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718196802397339
PII:
S 00255718(1968)02397339
Article copyright:
© Copyright 1968 American Mathematical Society
