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arXiv · 1708.06611

Functional inequalities for Fox-Wright functions

Khaled Mehrez·Sergei M. Sitnik
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Abstract

In this paper, our aim is to show some mean value inequalities for the Fox-Wright functions, such as Turán--type inequalities, Lazarević and Wilker--type inequalities. As applications we derive some new type inequalities for hypergeometric functions and the four--parametric Mittag--Leffler functions. Furthermore, we prove monotonicity of ratios for sections of series of Fox-Wright functions, the results is also closely connected with Turán--type inequalities. Moreover, some other type inequalities are also presented. At the end of the paper, some problems stated, which may be of interest for further research.

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Khaled Mehrez, Sergei M. Sitnik. 2017-08-16. Functional inequalities for Fox-Wright functions. https://arxiv.org/abs/1708.06611

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