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*, Proc. Cambridge Philos. Soc.**52**(1956), 764–768. MR**0082193****[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 Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR**1349110****[7]**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**, https://doi.org/10.6028/jres.056.005

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DOI:
https://doi.org/10.1090/S0025-5718-1957-0091538-0

Article copyright:
© Copyright 1957
American Mathematical Society