Naslov
Inequalities for a unified family of Voigt functions in several variables

Autori
Srivastava, Hari M. ; Poganj, Tibor

Izvornik
Russian Journal of Mathematical Physics (1061-9208) 14 (2007), 2; 194-200

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Inequality; Voigt function; incomplete Fox-Wright Psi function

Sažetak
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 $J_\nu(x)$ given recently by (for example) Landau, Olenko and Krasikov, sharp bounding inequalities are obtained for the unified multivariable Voigt function $V_{;m, n};(x ; y)$ in terms of the confluent Fox-Wright function $_1\Psi_0$ and its incomplete variant $_1\psi_0$. Connections of the unified multivariable Voigt function $V_{;m, n};(x ; y)$ with other unifications and generalizations of the classical Voigt function are also briefly pointed out.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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