Bessel functions for large arguments
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- by M. Goldstein and R. M. Thaler PDF
- Math. Comp. 12 (1958), 18-26 Request permission
References
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W. E. Milne, “The numerical determination of characteristic numbers,” Phys. Rev., v. 35, 1930, p. 863-867.
Harold Jeffreys, “On certain approximate solutions of linear differential equations of the second order,” London Math. Soc., Proc., v. 23, 1923, p. 428-436. The mathematical method first given by Jeffreys was independently derived in connection with an important physical problem by a. G. Wentzel, “Eine Verallgemeinerung der Quantenbedingungen für die Zwecke der Wellen-mechanik,” Zeits. f. Physik, v. 38, 1926, p. 518-529. b. H. A. Kramers, “Wellenmechanik und halbzahlige Quantisierung,” Zeits. f. Physik, v. 39, 1926, p. 828-840. c. L. Brillouin, “La mécanique ondulatoire de Schrödinger; une méthode générale de résolution par approximations sucessives,” Comptes Rendus, v. 183, 1926, p. 24-26. d. L. Brillouin, “Remarques sur la mécanique ondulatoire,” J. de Physique, v. 7, 1926, p. 353-368, and is commonly referred to as the JWKB approximation.
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Math. Comp. 12 (1958), 18-26
- MSC: Primary 65.00; Secondary 33.00
- DOI: https://doi.org/10.1090/S0025-5718-1958-0102906-3
- MathSciNet review: 0102906