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Tables for the rapid and accurate numerical evaluation of certain infinite integrals involving Bessel functions


Author: I. M. Longman
Journal: Math. Comp. 11 (1957), 166-180
MSC: Primary 65.3X
DOI: https://doi.org/10.1090/S0025-5718-1957-0091538-0
MathSciNet review: 0091538
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  • [1] I. M. Longman, ``Note on a method for computing infinite integrals of oscillatory functions,'' Cambridge Phil. Soc., Proc., v. 52, 1956, p. 764. MR 0082193 (18:515f)
  • [2] T. J. I'A. Bromwich, An Introduction to the Theory of Infinite Series, The Macmillan Co., New York, 1942.
  • [3] NBS Applied Mathematics Series, No. 37, Tables of Functions and of Zeros of Functions, U. S. Gov. Printing Office, Washington, D. C., 1954.
  • [4] Harvard University, Computation Laboratory, Annals, v. 3: Tables of the Bessel Functions of the First Kind of Orders Zero and One, Harvard University Press, Cambridge, Mass., 1947.
  • [5] British Association For The Advancement of Science, Committee on Mathematical Tables, Bessel Functions, v. 6, ``Zeros of $ {J_0}(x)$ and $ {J_1}(x)$,'' Cambridge: at the University Press, 1950.
  • [6] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge: at the University Press, 1948. MR 1349110 (96i:33010)
  • [7] P. Davis & P. Rabinowitz, ``Abscissas and weights for Gaussian quadratures of high order,'' NBS Jn. of Research, v. 56, Research Paper 2645, 1956, p. 35-37. MR 0076463 (17:902g)

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DOI: https://doi.org/10.1090/S0025-5718-1957-0091538-0
Article copyright: © Copyright 1957 American Mathematical Society

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