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Inequalities for a unified family of Voigt functions in several variables

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Abstract

The classical Voigt functions occur frequently in a wide variety of problems in astrophysical spectroscopy, emission, absorption and transfer of radiation in heated atmosphere, and plasma dispersion, and indeed also in the theory of neutron reactions. Here, in the present paper, by applying several known upper bounds for the first-kind Bessel function J ν (x) given recently by (for example) Landau, Olenko and Krasikov, sharp bounding inequalities are obtained for the unified multivariable Voigt function V μ,ν (x; y) in terms of the confluent Fox-Wright function 1ψ0 and its incomplete variant 1ψ0. Connections of the unified multivariable Voigt function V μ,ν (x; y) with other unifications and generalizations of the classical Voigt function are also briefly pointed out.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3P4, Canada

    H. M. Srivastava

  2. Faculty of Maritime Studies, University of Rijeka, Studentska 2, HR-51000, Rijeka, Croatia

    T. K. Pogány

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  1. H. M. Srivastava
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  2. T. K. Pogány
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Correspondence to H. M. Srivastava.

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Srivastava, H.M., Pogány, T.K. Inequalities for a unified family of Voigt functions in several variables. Russ. J. Math. Phys. 14, 194–200 (2007). https://doi.org/10.1134/S1061920807020082

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  • DOI: https://doi.org/10.1134/S1061920807020082

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