## 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), 58โ62. MR**0046126**
C.-B. Ling & C. W. Nelson, โOn evaluation of Howlandโs integrals,โ - 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), 173โ182. MR**0041666** - C. W. Nelson,
*New tables of Howlandโs and related integrals*, Math. Comp.**15**(1961), 12โ18. MR**119442**, DOI 10.1090/S0025-5718-1961-0119442-0
J. W. L. Glaisher, โNumerical values of the series $1 - 1/{3^n} + 1/{5^n} - 1/{7^n} + 1/{9^n} - \cdot \cdot \cdot$ ,โ - L. S. Goddard,
*The accumulation of chance effects and the Gaussian frequency distribution*, Philos. Mag. (7)**36**(1945), 428โ433. MR**14620** - L. S. Goddard,
*The accumulation of chance effects and the Gaussian frequency distribution*, Philos. Mag. (7)**36**(1945), 428โ433. MR**14620**
B. Butler, โOn the evaluation of $\int _0^\infty {{{(\sin t/t)}^m}dt}$ by the trapezoidal rule,โ - Kasaburรด 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), 113โ117. MR**172446**, DOI 10.1090/S0025-5718-1965-0172446-8

*Annals of Academia Sinica*, no. 2, part 2, 1955, pp. 45โ50.

*Messenger of Math.*, v. 42, 1912, pp. 35โ49. J. W. L. Glaisher, โTables 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,โ

*Quart. J. Pure and Appl. Math.*, v. 45, 1914, pp. 141โ152. H. T. Davis,

*Tables of Higher Mathematical Functions*, Vol. 2, Principia Press, Bloomington, Indiana, 1955. J. Peters & J. Stein, โMathematical tables,โ Appendix of Petersโ

*Ten-place Logarithmic Tables*, Vol. 1, Ungar, New York, 1957.

*Amer. Math. Monthly*, v. 67, 1960, pp. 566โ569.

## 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