Statistics – Computation
Scientific paper
Jan 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.175..229k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 175, no. 2, Jan. 1991, p. 229-240.
Statistics
Computation
3
Astronomical Spectroscopy, Computational Astrophysics, Integral Transformations, Neutrons, Voigt Effect, Astronomical Models, Asymptotic Methods
Scientific paper
The Voigt fuctions K(x, y) and L(x, y) which play an essential role in astrophysical spectroscopy and neutron physics are investigated and generalized from the viewpoint of integral operators. Unified representations and series expansions involving classical functions of mathematical physics and multi-variable hypergeometric functions are established. From the delicate asymptotic analysis of Laplace and Hankel integral transforms complete and rigorous asymptotic expansions of the generalized Voigt functions for large values of the variables x and y which are of great value in the theory of spectral line profiles are extracted.
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