A short table of $\int _{x}{}^{\infty } J_{0} (t)t^{-n}dt$ and $\int _{x}{}^{\infty } J_{1} (t)t^{-n}dt$
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- by I. M. Longman PDF
- Math. Comp. 13 (1959), 306-311 Request permission
References
- I. M. Longman, Tables for the rapid and accurate numerical evaluation of certain infinite integrals involving Bessel functions, Math. Tables Aids Comput. 11 (1957), 166β180. MR 91538, DOI 10.1090/S0025-5718-1957-0091538-0 Arnold N. Lowan & Milton Abramowitz, βTable of the integrals $\int _0^x {{J_0}(t)dt}$ and $\int _0^x {{J_0}(t)dt}$, Tables of Functions and of Zeros of Functions, NBS Applied Mathematics Series, No. 37, U. S. Government Printing Office, Washington, D. C., 1954, p. 21. Arnold N. Lowan, G. Blanch, & Milton Abramowitz, βTable of $J{i_0}(x) = \int _x^\infty {{J_0}(t)/tdt}$ and related functions,β Ibid., p. 33.
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
- V. G. Smith, An asymptotic expansion of $Ji_0(x)=\int ^\infty _x(J_0(t)/t)dt$, J. Math. Phys. Mass. Inst. Tech. 22 (1943), 58β59. MR 8705, DOI 10.1002/sapm194322158
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Math. Comp. 13 (1959), 306-311
- MSC: Primary 65.00
- DOI: https://doi.org/10.1090/S0025-5718-1959-0108892-5
- MathSciNet review: 0108892