Mathematics
Scientific paper
Oct 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..65..477h&link_type=abstract
Astrophysics and Space Science, vol. 65, no. 2, Oct. 1979, p. 477-491.
Mathematics
8
Astronomical Spectroscopy, Hypergeometric Functions, Line Spectra, Neutron Cross Sections, Neutron Physics, Voigt Effect, Asymptotic Methods, Inequalities, Integral Equations, Limits (Mathematics), Partial Differential Equations
Scientific paper
The paper considers the analysis of Voigt functions appearing in spectroscopy and neutron physics. The Voigt functions are represented as generalized hypergeometric functions (G-functions) of two real variables. A system of partial differential equations for the Voigt functions is derived, and by applying Hoelder's inequality to an integral representation of the Voigt functions not yet published, lower and upper bounds are obtained. In addition, an asymptotic expansion of Voigt functions for large values of one variable is extracted from this representation.
Haubold Hans Joachim
John R. W.
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