On the computation of Lommel’s functions of two variables
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- by J. Boersma PDF
- Math. Comp. 16 (1962), 232-238 Request permission
References
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B. R. A. Nijboer, The Diffraction Theory of Aberrations, Thesis, Groningen, 1942, p. 42-43.
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.
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746 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. E. N. Dekanosidze, Tables of Lommel’s Functions of Two Variables, Pergamon Press, New York, 1960.
- M. Goldstein and R. M. Thaler, Recurrence techniques for the calculation of Bessel functions, Math. Tables Aids Comput. 13 (1959), 102–108. MR 105794, DOI 10.1090/S0025-5718-1959-0105794-5
Additional Information
- © Copyright 1962 American Mathematical Society
- 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