Abstract
Recently, Srivastava and Pogány [18] obtained the sharp bounding inequalities for the multivariable Voigt function \( V_{\mu ,\nu }(\mathbf {x},y)\). Here, in the present paper, by applying several known upper bounds for the first-kind of the Bessel function \(J_{\nu }(x)\) given by Lommel’s, Minakshisundaram and Szász, Landau and Olenko, sharp bounding inequalities are obtained for the generalized Voigt function \(\Omega _{\mu ,\alpha ,\beta ,\nu }(x,y)\) in terms of the confluent Fox-Wright function \(_{1}\Psi _{0}\).
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Author has received financial support from TEQIP-II for attending the conference ICMAA-2016. This article does not contain any studies with human participants or animals, informed consent performed by the author.
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Parmar, R.K. Bounding inequalities for the generalized Voigt function. J Anal 28, 191–197 (2020). https://doi.org/10.1007/s41478-017-0054-5
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DOI: https://doi.org/10.1007/s41478-017-0054-5
Keywords
- Voigt function
- Generalized Voigt function
- Bessel function
- Bounding inequality
- Confluent Fox-Wright function \(_{1}\Psi _{0}\)