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Operational evaluation of certain infinite Bessel function integrals

Authors: Stanley E. Babb and James W. Cafky
Journal: Math. Comp. 33 (1979), 1033-1039
MSC: Primary 44A99
MathSciNet review: 528055
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Abstract: Some infinite integrals, primarily over trigonometric functions, are operationally evaluated by two extensions of the Weber-Schafheitlin approach.

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

  • [1] J. W. CAFKY, Ph. D. dissertation, University of Oklahoma, 1969.
  • [2] W. N. BAILEY, "Some infinite integrals involving Bessel functions," Proc. London Math. Soc. (2), v. 40, 1936, pp. 37-48, Eq. 10.3. Also G. N. WATSON, A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, 1966, p. 419 (16).
  • [3] G. N. WATSON, ibid., p. 404.
  • [4] G. N. WATSON, ibid., p. 399 ff.
  • [5] S. KATSURA, Phys. Rev., v. 115, 1959, p. 1417; S. KATSURA & K. NISHIHARA, J. Chem. Phys., v. 50, 1969, p. 3579; J. E. KILPATRICK, S. KATSURA & Y. INOUE, Math. Comp., v. 21, 1967, pp. 267 and 407. MR 0108015 (21:6736)

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Keywords: Fourier transforms, Bessel functions
Article copyright: © Copyright 1979 American Mathematical Society

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