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Tables of values of $ 16$ integrals of algebraic-hyperbolic type


Author: Chih-Bing Ling
Journal: Math. Comp. 11 (1957), 160-166
MSC: Primary 65.3X
DOI: https://doi.org/10.1090/S0025-5718-1957-0090892-3
MathSciNet review: 0090892
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  • [1] R. C. J. Howland, ``On the stresses in the neighbourhood of a circular hole in a strip under tension,'' Roy. Soc., Phil. Trans., v. 229, Ser. A, 1930, p. 49-86.
  • [2] R. C. J. Howland & A. C. Stevenson, ``Biharmonic analysis in a perforated strip,'' Roy. Soc., Phil. Trans., v. 232, Ser. A, 1934, p. 155-222.
  • [3] Chih-Bing Ling, Stresses in a notched strip under tension, J. Appl. Mech. 14 (1947), A-275–A-280. MR 0022760
  • [4] C. B. Ling, ``On the stresses in a notched strip,'' Jn. Appl. Mech., v. 19, 1952, p. 141-146.
  • [5] Chih-Bing Ling, Stresses in a perforated strip, J. Appl. Mech. 24 (1957), 365–375. MR 0092390
  • [6] C. B. Ling & C. W. Nelson, ``On evaluation of Howland's integrals,'' Annals of Academia Sinica, Taiwan, China, v. 2, part 2, 1955, p. 45-50.
  • [7] Carl W. Nelson, A Fourier integral solution for the plane-stress problem of a circular ring with concentrated radial loads, J. Appl. Mech. 18 (1951), 173–182. MR 0041666
  • [8] J. W. L. Glaisher, ``Tables of $ 1 \pm {2^{ - n}} + {3^{ - n}} \pm {4^{ - n}}$, etc., and $ 1 + {3^{ - n}} + {5^{ - n}} + {7^{ - n}} + \operatorname{etc} .$, to 32 places of decimals,'' Quart. Jn. of Math., v. 45, 1914, p. 141-158. The table also appears in H. T. Davis, Tables of Higher Mathematical Functions, v. 2, Principia Press, Bloomington, Indiana, 1955.
  • [9] Konrad Knopp, Theory of Functions. II. Applications and Continuation of the General Theory, Dover Publications, New York, 1947. MR 0019722
  • [10] J.W.L. Glaisher, ``Numerical values of the series $ 1 - 1/{3^n} + 1/{5^n} - 1/{7^n} + 1/{9^n} - \ldots $,'' Messenger of Mathematics, v. 42, 1912, p. 35-49.

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DOI: https://doi.org/10.1090/S0025-5718-1957-0090892-3
Article copyright: © Copyright 1957 American Mathematical Society