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Remark on a Mittag-Leffler function of Le Roy type (2012.11018v2)
Published 20 Dec 2020 in math.CA
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.