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Voigt profile functions in the complex domain

Published online by Cambridge University Press:  09 April 2009

A. Reichel
A. Reichel
Affiliation:
Department of Applied Mathematics, University of Sydeney.
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The functions where ξ > 0, are essentially Fourier convolutions of Gaussian and Cauchy type distributions, and have thus found application in many fields. In reactor theory, and no doubt elsewhere, the need has arisen to analyse complicated integrals and functional equations involving ψ and φ, the so-called Voigt profiles.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 4 , November 1964 , pp. 476 - 488
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Keane, A. and Clancy, B. E., This Journal, 4 (1964).Google Scholar
[2]Buckler, Mrs A. and Pull, I., A.A.E.W. – R 226, U.K. Atomic Energy Authority, H.M.S.O. (1962).Google Scholar
[3]Faddeyeva, V. N. and Terent'ev, N. M., Tables of the Probability Integral for Complex Argument, Pergamon Press, (1961).Google Scholar
[4]Rose, M. E., Miranker, W., Leak, P., Rosenthal, L. and Hendrickson, J. K., WAPD – SR – 506, Oak Ridge Technical Information Extension (1954).Google Scholar
[5]Bell, V. J., Buckler, Mrs P. A. C. and Pull, I. C., A.E.E.W. – R 266, U.K. Atomic Energy Authority, H.M.S.O. (1963).Google Scholar
[6]Posener, D., Australian J. Phys. 12 (1959), 184.CrossRefGoogle Scholar
[7]Cook, J. L. and Elliot, D., Australian J. of Applied Science, 11, No. 1 (1960), 16–32.Google Scholar
[8]Dawson, H. G., Proc. London Math. Soc., (1) 29 (1898), 519–522.Google Scholar
[9]Terrill, H. M., and Sweeney, L., Journal of Franklin Institute, 237 (1944), 495–497; 238 (1944), 220–222.Google Scholar