The integral of the $n$th power of the Voigt function
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- by Alex Reichel PDF
- Math. Comp. 23 (1969), 645-649 Request permission
Abstract:
A series expansion is given for the computation of the integral over $( - \infty ,\infty )$ of the $n$th power of the Voigt function for use in spectral line calculations with Doppler broadening. A nine significant figure table is presented for $n$ up to 25 and for a wide range of values of the second parameter on a microfiche card in this issue.References
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I. I. Gurevich & I. Y. Pomeranchouk, Proc. First Internat. Conf. Peaceful Uses Atomic Energy, (Geneva), v. 5, 1955, p. 466, p. 649.
- M. H. McKay and A. Keane, A correction to the effective resonance integral in heterogeneous nuclear reactors to allow for fuel geometry, Austral. J. Appl. Sci. 11 (1960), 1–15. MR 115327 M. H. McKay, "An improvement on Shapiro’s approximation to a function occurring in the theory of resonance absorption," J. Nuclear Sci. Tech., v. 2, 4, 1965, p. 117.
- J. L. Cook and D. Elliott, The tabulation of three functions arising in nuclear resonance theory, Austral. J. Appl. Sci. 11 (1960), 16–32. MR 115328 A. Reichel, "Doppler broadening integrals and other relatives of the error function," J. Quant. Spet. Radiat. Transfer, v. 8, 1968, p. 1601.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 645-649
- DOI: https://doi.org/10.1090/S0025-5718-69-99861-5
- MathSciNet review: 0247741