Some connections between generalized Voigt functions with the different parameters

The Voigt functions play an important role in several diverse fields of physics such as astrophysical spectroscopy and the theory of neutron reactions. Motivated by the contributions toward the unification (and generalization) of these functions, in this paper, we establish some connections between...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 181; no. 1; pp. 57 - 64
Main Authors Khan, Subuhi, Agrawal, Babita, Pathan, M.A.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 01.10.2006
Elsevier
Subjects
Bessel functions
Exact sciences and technology
Hypergeometric functions
Mathematical analysis
Mathematics
Sciences and techniques of general use
Special functions
Voigt functions
Hypergeometric functions
Voigt functions
Bessel functions
Bessel function
Numerical analysis
Applied mathematics
Generalized function
Hypergeometric function
Voigt function
Two variables function
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Summary:The Voigt functions play an important role in several diverse fields of physics such as astrophysical spectroscopy and the theory of neutron reactions. Motivated by the contributions toward the unification (and generalization) of these functions, in this paper, we establish some connections between generalized Voigt functions with the different parameters involving one and two-variable hypergeometric functions. Further, we derive various other interesting results as applications of these connections.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.01.016