Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

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



Some definite integrals of the product of two Bessel functions of the second kind: (order zero)

Author: M. L. Glasser
Journal: Math. Comp. 28 (1974), 613-615
MSC: Primary 33A40
MathSciNet review: 0344541
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: 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.

References [Enhancements On Off] (What's this?)

  • 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
  • A. Erdélyi et al., Tables of Integral Transforms. Vol. 2, McGraw-Hill, New York, 1954, p. 173. MR 16, 468. Ibid, p. 380.

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 33A40

Retrieve articles in all journals with MSC: 33A40

Additional Information

Keywords: Bessel function, definite integrals
Article copyright: © Copyright 1974 American Mathematical Society