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1: 15.14 Integrals
Hankel transforms of hypergeometric functions are given in Oberhettinger (1972, §1.17) and Erdélyi et al. (1954b, §8.17). …
2: 10.74 Methods of Computation
Hankel Transform
The spherical Bessel transform is the Hankel transform (10.22.76) in the case when ν is half an odd positive integer. …
3: 10.1 Special Notation
For older notations see British Association for the Advancement of Science (1937, pp. xix–xx) and Watson (1944, Chapters 1–3).
4: 13.10 Integrals
§13.10(v) Hankel Transforms
For additional Hankel transforms and also other Bessel transforms see Erdélyi et al. (1954b, §8.18) and Oberhettinger (1972, §§1.16 and 3.4.42–46, 4.4.45–47, 5.94–97). …
5: 13.23 Integrals
§13.23(iii) Hankel Transforms
For additional Hankel transforms and also other Bessel transforms see Erdélyi et al. (1954b, §8.18) and Oberhettinger (1972, §1.16 and 3.4.42–46, 4.4.45–47, 5.94–97). …
6: Bibliography W
  • T. Weider (1999) Algorithm 794: Numerical Hankel transform by the Fortran program HANKEL. ACM Trans. Math. Software 25 (2), pp. 240–250.
  • R. Wong (1976) Error bounds for asymptotic expansions of Hankel transforms. SIAM J. Math. Anal. 7 (6), pp. 799–808.
  • R. Wong (1977) Asymptotic expansions of Hankel transforms of functions with logarithmic singularities. Comput. Math. Appl. 3 (4), pp. 271–286.
  • 7: Bibliography F
  • F. Feuillebois (1991) Numerical calculation of singular integrals related to Hankel transform. Comput. Math. Appl. 21 (2-3), pp. 87–94.
  • C. L. Frenzen and R. Wong (1985a) A note on asymptotic evaluation of some Hankel transforms. Math. Comp. 45 (172), pp. 537–548.
  • 8: Bibliography C
  • R. G. Campos (1995) A quadrature formula for the Hankel transform. Numer. Algorithms 9 (2), pp. 343–354.
  • A. D. Chave (1983) Numerical integration of related Hankel transforms by quadrature and continued fraction expansion. Geophysics 48 (12), pp. 1671–1686.
  • N. B. Christensen (1990) Optimized fast Hankel transform filters. Geophysical Prospecting 38 (5), pp. 545–568.
  • P. Cornille (1972) Computation of Hankel transforms. SIAM Rev. 14 (2), pp. 278–285.
  • 9: Bibliography J
  • H. K. Johansen and K. Sørensen (1979) Fast Hankel transforms. Geophysical Prospecting 27 (4), pp. 876–901.
  • 10: 10.22 Integrals
    §10.22(v) Hankel Transform
    The Hankel transform (or Bessel transform) of a function f ( x ) is defined as … For asymptotic expansions of Hankel transforms see Wong (1976, 1977), Frenzen and Wong (1985a) and Galapon and Martinez (2014). For collections of Hankel transforms see Erdélyi et al. (1954b, Chapter 8) and Oberhettinger (1972). …