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Positivity of certain class of functions related to the Fox H-functions and applications (1811.06353v2)
Published 22 Oct 2018 in math.CA
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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