Title :

Remark on a Mittag–Leffler function of Le Roy type

Author(s) :

Simon, Thomas [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Integral Transforms and Special Functions

Pages :

108-114

Publisher :

Taylor & Francis

Publication date :

2021-04-17

ISSN :

1065-2469

English keyword(s) :

Complete monotonicity
gamma function
infinite divisibility
Le Roy function
Mittag–Leffler function

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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, ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL