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arXiv · 1811.06353

Positivity of certain class of functions related to the Fox H-functions and applications

Khaled Mehrez
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Abstract

In this present investigation, we found a set of sufficient conditions to be imposed on the parameters of the Fox H-functions which allow us to conclude that it is non-negative. As applications, various new facts regarding the Fox-Wright functions, including complete monotonicity, logarithmic completely monotonicity and monotonicity of ratios are considered.

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Khaled Mehrez. 2018-10-22. Positivity of certain class of functions related to the Fox H-functions and applications. https://arxiv.org/abs/1811.06353

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