2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225235Let $K$ denote a locally compact commutative hypergroup, $L^1(K)$ the hypergroup algebra, and $α$ a real-valued hermitian character of $K$. We show that $K$ is $α$-amenable if and only if $L^1(K)$ is $α$-left amenable. We also consider the $α$-amenability of hypergroup joins and polynomial hypergroups in several variables as well as a single variable.Functional AnalysisClassical Analysis and ODEs43A62, 43A07, 46H20text