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On the computation of Lommel's functions of two variables


Author: J. Boersma
Journal: Math. Comp. 16 (1962), 232-238
MSC: Primary 33.25
DOI: https://doi.org/10.1090/S0025-5718-1962-0146419-2
MathSciNet review: 0146419
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References [Enhancements On Off] (What's this?)

  • [1] B. R. A. Nijboer, The Diffraction Theory of Aberrations, Thesis, Groningen, 1942, p. 42-43.
  • [2] F. Zernike & B. R. A. Nijboer, ``Théorie de la diffraction des aberrations,'' p. 227-235 of La Théorie des Images Optiques, Colloque sur la théorie des images optiques 1947, published by La Revue d'Optique, Paris, 1949.
  • [3] G. N. Watson, A Treatise on the Theory of Bessel Functions, Second Edition, Cambridge University Press, 1948. MR 0010746 (6:64a)
  • [4] E. Lommel, ``Die Beugungserscheinungen einer kreisrunden Öffnung und eines kreisrunden Schirmchens,'' Abh. der Math. Phys. Classe der Kön. Bayer. Akad. der Wiss., Bd. XV, 1886, p. 229-328.
  • [5] E. N. Dekanosidze, Tables of Lommel's Functions of Two Variables, Pergamon Press, New York, 1960.
  • [6] M. Goldstein & R. M. Thaler, ``Recurrence techniques for the calculation of Bessel functions,'' MTAC, v. 13, 1959, p. 102-108. MR 0105794 (21:4530)

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DOI: https://doi.org/10.1090/S0025-5718-1962-0146419-2
Article copyright: © Copyright 1962 American Mathematical Society

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