Tables of values of three infinite integrals

Authors:
Chih-Bing Ling and Hsien-Chueh Wu

Journal:
Math. Comp. **19** (1965), 487-494

DOI:
https://doi.org/10.1090/S0025-5718-65-99247-1

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References | Additional Information

**[1]**Chih-Bing Ling,*Tables of values of the integrals ∫^{∞}₀(𝑥^{𝑚}/𝑠𝑖𝑛ℎ^{𝑝}𝑥)𝑑𝑥 and ∫^{∞}₀(𝑥^{𝑚}/𝑐𝑜𝑠ℎ^{𝑝}𝑥)𝑑𝑥*, J. Math. Physics**31**(1952), 58–62. MR**0046126****[2]**C.-B. Ling & C. W. Nelson, ``On evaluation of Howland's integrals,''*Annals of Academia Sinica*, no. 2, part 2, 1955, pp. 45-50.**[3]**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****[4]**C. W. Nelson,*New tables of Howland’s and related integrals*, Math. Comp.**15**(1961), 12–18. MR**0119442**, https://doi.org/10.1090/S0025-5718-1961-0119442-0**[5]**J. W. L. Glaisher, ``Numerical values of the series ,''*Messenger of Math.*, v. 42, 1912, pp. 35-49.**[6]**J. W. L. Glaisher, ``Tables of etc. and etc. to 32 places of decimals,''*Quart. J. Pure and Appl. Math.*, v. 45, 1914, pp. 141-152.**[7]**H. T. Davis,*Tables of Higher Mathematical Functions*, Vol. 2, Principia Press, Bloomington, Indiana, 1955.**[8]**J. Peters & J. Stein, ``Mathematical tables,'' Appendix of Peters'*Ten-place Logarithmic Tables*, Vol. 1, Ungar, New York, 1957.**[9]**L. S. Goddard,*The accumulation of chance effects and the Gaussian frequency distribution*, Philos. Mag. (7)**36**(1945), 428–433. MR**0014620****[10]**L. S. Goddard,*The accumulation of chance effects and the Gaussian frequency distribution*, Philos. Mag. (7)**36**(1945), 428–433. MR**0014620****[11]**B. Butler, ``On the evaluation of by the trapezoidal rule,''*Amer. Math. Monthly*, v. 67, 1960, pp. 566-569.**[12]**Kasaburô Harumi, Shigetoshi Katsura, and John W. Wrench Jr.,*Values of (2/𝜋)∫₀^{∞}(𝑠𝑖𝑛𝑡/𝑡)ⁿ𝑑𝑡*, Math. Comp.**14**(1960), 379. MR**0122010**, https://doi.org/10.1090/S0025-5718-1960-0122010-7**[13]**R. G. Medhurst and J. H. Roberts,*Evaluation of the integral I_{n}(b)=2\over𝜋∫^{∞}_{0}(sinx\over x)^{n} cos(bx)dx.*, Math. Comp.**19**(1965), 113–117. MR**0172446**, https://doi.org/10.1090/S0025-5718-1965-0172446-8

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DOI:
https://doi.org/10.1090/S0025-5718-65-99247-1

Article copyright:
© Copyright 1965
American Mathematical Society