2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215284Inequalities, asymptotics and, for some specific cases, asymptotical expansions were obtained for generalized Mathieu's series. A connection between inequalities for Mathieu's series and positive definite and completely monotonic functions.26 pagesClassical Analysis and ODEs26D15; 33E20; 65B15text