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 and ,'' 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