Tables of values of $16$ integrals of algebraic-hyperbolic type
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- by Chih-Bing Ling PDF
- Math. Comp. 11 (1957), 160-166 Request permission
References
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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.
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.
- Chih-Bing Ling, Stresses in a notched strip under tension, J. Appl. Mech. 14 (1947), A-275–A-280. MR 0022760 C. B. Ling, “On the stresses in a notched strip,” Jn. Appl. Mech., v. 19, 1952, p. 141-146.
- Chih-Bing Ling, Stresses in a perforated strip, J. Appl. Mech. 24 (1957), 365–375. MR 0092390, DOI 10.1115/1.4011548 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.
- 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, DOI 10.1115/1.4010272 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.
- Konrad Knopp, Theory of Functions. II. Applications and Continuation of the General Theory, Dover Publications, New York, 1947. MR 0019722, DOI 10.1515/9783112399361 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.
Additional Information
- © Copyright 1957 American Mathematical Society
- 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