Bounding inequalities for the generalized Voigt function

Abstract

Recently, Srivastava and Pogany [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 Szasz, 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 \(_{1}\Psi _{0}\).