Hypergeometric -functions of the -Painlevé system of type .
Nous montrons que pour tout rationnel de , l’ensemble des valeurs des polylogarithmes contient une infinité de nombres -linéairement indépendants.
MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and on its compact subsets are obtained. We also prove an asymptotic formula for the case of "large" values of the indices of these functions. Similar results have also been obtained by the author for the classical Bessel functions and their Wright's...