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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Some definite integrals of the product of two Bessel functions of the second kind: (order zero)
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by M. L. Glasser PDF
Math. Comp. 28 (1974), 613-615 Request permission


A new integral representation is derived for the expression ${J_0}(z){J_0}(Z) + {Y_0}(z) \cdot {Y_0}(Z)$ and used to evaluate a number of integrals containing ${Y_0}(ax){Y_0}(bx)$. A supplementary table of integrals involving the function ${K_0}(x)$ in the integrand appears in the microfiche section of this issue.
  • G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
  • Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • G. Z. Forristall and J. D. Ingram, Evaluation of distributions useful in Kontorovich-Lebedev transform theory, SIAM J. Math. Anal. 3 (1972), 561–566. MR 313805, DOI 10.1137/0503055
  • A. Erdélyi et al., Tables of Integral Transforms. Vol. 2, McGraw-Hill, New York, 1954, p. 173. MR 16, 468. Ibid, p. 380.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 613-615
  • MSC: Primary 33A40
  • DOI:
  • MathSciNet review: 0344541