Tables for the rapid and accurate numerical evaluation of certain infinite integrals involving Bessel functions
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- by I. M. Longman PDF
- Math. Comp. 11 (1957), 166-180 Request permission
References
- I. M. Longman, Note on a method for computing infinite integrals of oscillatory functions, Proc. Cambridge Philos. Soc. 52 (1956), 764–768. MR 82193, DOI 10.1017/S030500410003187X T. J. I’A. Bromwich, An Introduction to the Theory of Infinite Series, The Macmillan Co., New York, 1942. NBS Applied Mathematics Series, No. 37, Tables of Functions and of Zeros of Functions, U. S. Gov. Printing Office, Washington, D. C., 1954. 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. 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.
- 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
- P. Davis and P. Rabinowitz, Abscissas and weights for Gaussian quadratures of high order, J. Res. Nat. Bur. Standards 56 (1956), 35–37. MR 0076463, DOI 10.6028/jres.056.005
Additional Information
- © Copyright 1957 American Mathematical Society
- 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