Tables of values of integrals of algebraic-hyperbolic type

Author:
Chih-Bing Ling

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

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**[1]**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.**[2]**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.**[3]**Chih-Bing Ling,*Stresses in a notched strip under tension*, J. Appl. Mech.**14**(1947), A-275–A-280. MR**0022760****[4]**C. B. Ling, ``On the stresses in a notched strip,''*Jn. Appl. Mech.*, v. 19, 1952, p. 141-146.**[5]**Chih-Bing Ling,*Stresses in a perforated strip*, J. Appl. Mech.**24**(1957), 365–375. MR**0092390****[6]**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.**[7]**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****[8]**J. W. L. Glaisher, ``Tables of , etc., and , 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.**[9]**Konrad Knopp,*Theory of Functions. II. Applications and Continuation of the General Theory*, Dover Publications, New York, 1947. MR**0019722****[10]**J.W.L. Glaisher, ``Numerical values of the series ,''*Messenger of Mathematics*, v. 42, 1912, p. 35-49.

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DOI:
https://doi.org/10.1090/S0025-5718-1957-0090892-3

Article copyright:
© Copyright 1957
American Mathematical Society