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]**C.-B. Ling, ``Tables of values of the integrals and ,''*J. Math, and Phys.*, v. 31, 1952, pp. 58-62. MR**13**, 690. (Two misprints are here noted. On p. 59, the subscript of in the last equation of (8) should be . Again, on p. 60, the exponent of 2 in the first equation of (9) should be .) MR**0046126 (13:690a)****[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]**C. W. Nelson, ``A Fourier integral solution for the plane-stress problem of a circular ring with concentrated radial loads,''*J. Appl. Mech.*, v. 18, 1951, pp. 173-182. MR**12**, 880. MR**0041666 (12:880c)****[4]**C. W. Nelson, ``New Tables of Howland's and related integrals,''*Math. Comp.*, v. 15, 1961, pp. 12-18. MR**22**#10203. MR**0119442 (22:10203)****[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]**A. H. R. Grimsey, ``On the accumulation of chance effects and the Gaussian frequency distribution,''*Philos. Mag.*, v. 36, 1945, pp. 294-295. MR**1**, 311. MR**0014620 (7:311a)****[10]**L. S. Goddard, ``The accumulation of chance effects and the Gaussian frequency distribution,''*Philos. Mag.*, v. 36, 1945, pp. 428-433. MR**7**, 311. MR**0014620 (7:311a)****[11]**B. Butler, ``On the evaluation of by the trapezoidal rule,''*Amer. Math. Monthly*, v. 67, 1960, pp. 566-569.**[12]**K. Harumi, S. Katsura & J. W. Wrench, Jr., ``Values of ,''*Math. Comp.*, v. 14, 1960, p. 379. MR**22**#12737. MR**0122010 (22:12737)****[13]**R. G. Medhurst & J. H. Roberts, ``Evaluation of the integral ,''*Math. Comp.*, v. 19, 1965, pp. 113-117. MR**0172446 (30:2665)**

Additional Information

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

Article copyright:
© Copyright 1965
American Mathematical Society