Tur\'an type inequalities for classical and generalized Mittag-Leffler functions

In this paper some Tur'an type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for special ratio of sections for series of Mittag-Leffler functions. Some applications are considered to Lazarevi'c and Wilker-type inequalities for classical and generalized Mittag-Leffler functions. At the end some open problems are formulated.