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Mathematics of Computation

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Integral relations among Bessel functions


Author: E. O. Schulz-DuBois
Journal: Math. Comp. 23 (1969), 845-847
MSC: Primary 33.25
MathSciNet review: 0257426
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Abstract: Inverse Laplace transformation of seemingly trivial identities is used to derive novel integral relations among ordinary and modified Bessel functions.


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

  • [1] E. O. Schulz-DuBois, Electromagnetic Propagation in Linear Dispersive Media. (To appear.)
  • [2] A. H. Zemanian, Distribution theory and transform analysis. An introduction to generalized functions, with applications, McGraw-Hill Book Co., New York-Toronto-London-Sydney, 1965. MR 0177293
  • [3] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
  • [4] Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • [5] A. Erdélyi et al., Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953, pp. 244-245, formulae 31, 35. MR 15, 419.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1969-0257426-X
Article copyright: © Copyright 1969 American Mathematical Society