Published 2006-01-15
DOI:
https://doi.org/10.71712/Keywords
- Voigt function,
- Bessel function,
- Hermite polynomials,
- hypergeometric functions
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Pathan, M. (2006). The Multivariable Voigt Functions and their representations. Scientia Series A: Mathematical Sciences, 12, 9-15. https://doi.org/10.71712/
Abstract
In the present paper it will be shown that generalized Voigt function is expressible in terms of a combination of Kampé de Fériet's functions. We also give further generalizations (involving multivariables) of Voigt functions in terms of series and integrals which are specially useful when the parameters take on special values. The results of multivariable Hermite polynomials are used with a view to obtaining explicit representations of generalized Voigt functions.
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