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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

The integral of the $ n$th power of the Voigt function


Author: Alex Reichel
Journal: Math. Comp. 23 (1969), 645-649
MathSciNet review: 0247741
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Abstract | References | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] I. I. Gurevich & I. Y. Pomeranchouk, Proc. First Internat. Conf. Peaceful Uses Atomic Energy, (Geneva), v. 5, 1955, p. 466, p. 649.
  • [2] 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 0115327 (22 #6129)
  • [3] 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.
  • [4] 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 0115328 (22 #6130)
  • [5] A. Reichel, "Doppler broadening integrals and other relatives of the error function," J. Quant. Spet. Radiat. Transfer, v. 8, 1968, p. 1601.


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-69-99861-5
PII: S 0025-5718(69)99861-5
Article copyright: © Copyright 1969 American Mathematical Society