Approximate relations between series and integrals
HTML articles powered by AMS MathViewer
- by P. A. P. Moran PDF
- Math. Comp. 12 (1958), 34-37 Request permission
References
-
A. C. Aitken, Statistical Mathematics, Oliver and Boyd, Edinburgh, 1939.
- H. C. Bolton and H. I. Scoins, Eigenvalues of differential equations by finite-difference methods, Proc. Cambridge Philos. Soc. 52 (1956), 215–229. MR 79344, DOI 10.1017/S0305004100031200
- S. C. Das, The numerical evaluation of a class of integrals. II, Proc. Cambridge Philos. Soc. 52 (1956), 442–448. MR 91524, DOI 10.1017/S0305004100031443
- Henry E. Fettis, Numerical calculation of certain definite integrals by Poisson’s summation formula, Math. Tables Aids Comput. 9 (1955), 85–92. MR 72546, DOI 10.1090/S0025-5718-1955-0072546-0
- E. T. Goodwin, The evaluation of integrals of the form $\int ^\infty _{-\infty } f(x) e^{-x^{2}} dx$, Proc. Cambridge Philos. Soc. 45 (1949), 241–245. MR 29281, DOI 10.1017/s0305004100024786
- E. T. Goodwin and J. Staton, Table of $\int ^\infty _0(e^{-u^{2}}/u+x) du$, Quart. J. Mech. Appl. Math. 1 (1948), 319–326. MR 27177, DOI 10.1093/qjmam/1.1.220
- P. A. P. Moran, Numerical integration by systematic sampling, Proc. Cambridge Philos. Soc. 46 (1950), 111–115. MR 32110, DOI 10.1017/s0305004100025524
- P. A. P. Moran, The numerical evaluation of a class of integrals, Proc. Cambridge Philos. Soc. 52 (1956), 230–233. MR 76450, DOI 10.1017/s0305004100031212 P. A. P. Moran, “The dilution assay of viruses,” J. Hygiene, v. 52, 1954, p. 189-193. P. A. P. Moran, “Inequalities for Bessel functions,” Quart. J. Math. (to appear). H. E. Salzer, “Aerial pattern synthesis; use of Poisson’s formula,” Wireless Engineer, v 33, 1956, p. 240-244.
- Herbert E. Salzer, A simple method for summing certain slowly convergent series, J. Math. and Phys. 33 (1955), 356–359. MR 68315, DOI 10.1002/sapm1954331356 E. T. Whittaker & G. Robinson, The Calculus of Observations, Blackie, London, 1932.
- F. Yates, Systematic sampling, Philos. Trans. Roy. Soc. London Ser. A 241 (1948), 345–377. MR 26301, DOI 10.1098/rsta.1948.0023
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Math. Comp. 12 (1958), 34-37
- MSC: Primary 65.00
- DOI: https://doi.org/10.1090/S0025-5718-1958-0099112-8
- MathSciNet review: 0099112