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Functional inequalities for the Wright functions
Authors:Khaled Mehrez
Institution:1. Département de Mathématiques ISSAT Kasserine, Université de Kairouan, Kairouan, Tunisia;2. Faculté de Sciences de Tunis, Université Tunis el Manar, Tunis, Tunisiak.mehrez@yahoo.frmehrezkhaled23@yahoo.com
Abstract:In this paper, our aim is to show some mean value inequalities for the Wright function, such as Turán-type inequalities, Lazarevi?-type inequalities, Wilker-type inequalities and Redheffer-type inequalities. Moreover, we prove monotonicity of ratios for sections of series of Wright functions, the result is also closely connected with Turán-type inequalities. In the end of the paper, we present some other inequalities for the Wright function.
Keywords:The Wright function  Turán-type inequalities  Lazarevi?-type inequality  Wilker's inequality  Redheffer's type inequality
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