Tables of values of three infinite integrals
HTML articles powered by AMS MathViewer
- by Chih-Bing Ling and Hsien-Chueh Wu PDF
- Math. Comp. 19 (1965), 487-494 Request permission
References
- Chih-Bing Ling, Tables of values of the integrals $\int ^\infty _0(x^m/\textrm {sinh}^px)dx$ and $\int ^\infty _0(x^m/\textrm {cosh}^px)dx$, J. Math. Physics 31 (1952), 58–62. MR 0046126 C.-B. Ling & C. W. Nelson, “On evaluation of Howland’s integrals,” Annals of Academia Sinica, no. 2, part 2, 1955, pp. 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
- C. W. Nelson, New tables of Howland’s and related integrals, Math. Comp. 15 (1961), 12–18. MR 119442, DOI 10.1090/S0025-5718-1961-0119442-0 J. W. L. Glaisher, “Numerical values of the series $1 - 1/{3^n} + 1/{5^n} - 1/{7^n} + 1/{9^n} - \cdot \cdot \cdot$ ,” Messenger of Math., v. 42, 1912, pp. 35–49. J. W. L. Glaisher, “Tables of $1 \pm {2^{ - n}} + {3^{ - n}} \pm {4^{ - n}} +$etc. and $1 + {3^{ - n}} + {5^{ - n}} + {7^{ - n}} +$ etc. to 32 places of decimals,” Quart. J. Pure and Appl. Math., v. 45, 1914, pp. 141–152. H. T. Davis, Tables of Higher Mathematical Functions, Vol. 2, Principia Press, Bloomington, Indiana, 1955. J. Peters & J. Stein, “Mathematical tables,” Appendix of Peters’ Ten-place Logarithmic Tables, Vol. 1, Ungar, New York, 1957.
- L. S. Goddard, The accumulation of chance effects and the Gaussian frequency distribution, Philos. Mag. (7) 36 (1945), 428–433. MR 14620
- L. S. Goddard, The accumulation of chance effects and the Gaussian frequency distribution, Philos. Mag. (7) 36 (1945), 428–433. MR 14620 B. Butler, “On the evaluation of $\int _0^\infty {{{(\sin t/t)}^m}dt}$ by the trapezoidal rule,” Amer. Math. Monthly, v. 67, 1960, pp. 566–569.
- Kasaburô Harumi, Shigetoshi Katsura, and John W. Wrench Jr., Values of $(2/\pi )\int _{0}^{\infty }(\textrm {sin}\,t/t)^{n}dt$, Math. Comp. 14 (1960), 379. MR 122010, DOI 10.1090/S0025-5718-1960-0122010-7
- R. G. Medhurst and J. H. Roberts, Evaluation of the integral \[ I_n(b)={\textstyle 2\over \pi }\int ^\infty _0\left ({\sin x\over x}\right )^n \cos (bx)dx.\], Math. Comp. 19 (1965), 113–117. MR 172446, DOI 10.1090/S0025-5718-1965-0172446-8
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Math. Comp. 19 (1965), 487-494
- DOI: https://doi.org/10.1090/S0025-5718-65-99247-1