A new method of evaluation of Howland integrals
Authors:
Chih Bing Ling and Jung Lin
Journal:
Math. Comp. 25 (1971), 331337
MSC:
Primary 65D30
MathSciNet review:
0295537
Fulltext PDF Free Access
Abstract 
References 
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Abstract: In this paper, two Howland integrals are evaluated to 25D when the index is an odd integer. Those Howland integrals when the index is an even integer have been evaluated to 18D by Nelson. A new method of evaluation is used.
 [1]
R. C. J. Howland, "On the stresses in the neighbourhood of a circular hole in a strip under tension," Philos. Trans. Roy. Soc. London Ser. A, v. 229, 1930, 4986.
 [2]
R. C. J. Howland & A. C. Stevenson, "Biharmonic analysis in a perforated strip," Philos. Trans. Roy. Soc. London Ser. A, v. 232, 1934, pp. 155222.
 [3]
C. B. Ling & C. W. Nelson, "On evaluation of Howland integrals," Ann. Acad. Sinica, Taiwan, v. 2, part 2, 1955, pp. 4550.
 [4]
ChihBing
Ling, Tables of values of 16 integrals of
algebraichyperbolic type, Math. Tables Aids
Comput. 11 (1957),
160–166. MR 0090892
(19,886f), http://dx.doi.org/10.1090/S00255718195700908923
 [5]
C.
W. Nelson, New tables of Howland’s and
related integrals, Math. Comp. 15 (1961), 12–18. MR 0119442
(22 #10203), http://dx.doi.org/10.1090/S00255718196101194420
 [6]
A. Erdélyi, et al., Higher Transcendental Functions. Vol. I, McGrawHill, New York, 1953, pp. 175176. MR 15, 419.
 [7]
E. T. Whittaker & G. Robinson, Calculus of Observations, 4th ed., Blackie, London, 1948, pp. 143144.
 [8]
C. B. Ling & F. H. Cheng, "Stresses in a semiinfinite strip," Internat. J. Engrg. Sci., v. 5, 1967, pp. 155170.
 [1]
 R. C. J. Howland, "On the stresses in the neighbourhood of a circular hole in a strip under tension," Philos. Trans. Roy. Soc. London Ser. A, v. 229, 1930, 4986.
 [2]
 R. C. J. Howland & A. C. Stevenson, "Biharmonic analysis in a perforated strip," Philos. Trans. Roy. Soc. London Ser. A, v. 232, 1934, pp. 155222.
 [3]
 C. B. Ling & C. W. Nelson, "On evaluation of Howland integrals," Ann. Acad. Sinica, Taiwan, v. 2, part 2, 1955, pp. 4550.
 [4]
 C. B. Ling, "Tables of values of 16 integrals of algebraichyperbolic type," MTAC, v. 11, 1957, pp. 160166. MR 19, 886. MR 0090892 (19:886f)
 [5]
 C. W. Nelson, "New tables of Howland's and related integrals," Math. Comp., v. 15, 1961, pp. 1218. MR 22 #10203. MR 0119442 (22:10203)
 [6]
 A. Erdélyi, et al., Higher Transcendental Functions. Vol. I, McGrawHill, New York, 1953, pp. 175176. MR 15, 419.
 [7]
 E. T. Whittaker & G. Robinson, Calculus of Observations, 4th ed., Blackie, London, 1948, pp. 143144.
 [8]
 C. B. Ling & F. H. Cheng, "Stresses in a semiinfinite strip," Internat. J. Engrg. Sci., v. 5, 1967, pp. 155170.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197102955372
PII:
S 00255718(1971)02955372
Keywords:
Evaluation of Howland integrals
Article copyright:
© Copyright 1971
American Mathematical Society
