Some families of generalized Mathieu-type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity

Živorad Tomovski Khaled Mehrez

Mathieu series integral representations probability distributions inequality Hurwitz-Lerch zeta function Mittag-Leffler function characteristic function completely monotonic function log-convex function Turán type inequality

33B15 33E20 60E10 11M35