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Remark on a Mittag–Leffler function of Le Roy type

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We give some necessary and some sufficient conditions for the complete monotonicity on the negative half-line of a Mittag-Leffler function of Le Roy type. It is conjectured that the underlying… Click to show full abstract

We give some necessary and some sufficient conditions for the complete monotonicity on the negative half-line of a Mittag-Leffler function of Le Roy type. It is conjectured that the underlying positive random variable, when it exists, must be logarithmically infinitely divisible.

Keywords: function roy; roy type; mittag leffler; leffler function

Journal Title: Integral Transforms and Special Functions
Year Published: 2021

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