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math.CA2020
Some properties of the Kilbas-Saigo function
Lotfi Boudabsa, Thomas Simon
We characterize the complete monotonicity of the Kilbas-Saigo function on the negative half-line. We also provide the exact asymptotics at , and uniform hyperbolic bounds…
math.CA2020
Remark on a Mittag-Leffler function of Le Roy type
Thomas Simon
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 th…