Some representations of unified Voigt functions \(\Omega{}_{\eta{},\nu{},\lambda{}}^ \mu{}(x,y)\) (Q1190591)
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scientific article; zbMATH DE number 55707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some representations of unified Voigt functions \(\Omega{}_{\eta{},\nu{},\lambda{}}^ \mu{}(x,y)\) |
scientific article; zbMATH DE number 55707 |
Statements
Some representations of unified Voigt functions \(\Omega{}_{\eta{},\nu{},\lambda{}}^ \mu{}(x,y)\) (English)
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26 September 1992
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The unified Voigt functions are important in a number of physical applications and this contribution to their general theory is welcome. Several useful representations of these functions are investigated in this paper, probably the most compact being in terms of the Humbert functions \(\Psi_ 2\) and \(\Phi_ 3\) which are confluent double hypergeometric functions. Some confusion with the Appell functions might possibly arise on account of the non-standard use of the symbols \(F_ 2\) and \(F_ 3\) respectively instead of \(\Psi_ 2\) and \(\Phi_ 3\).
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Voigt functions
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Humbert functions
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confluent double hypergeometric functions
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Appell functions
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neutron reactions
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astrophysical spectroscopy
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