2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146031Let $UC(K)$ denote the Banach space of all bounded uniformly continuous functions on a hypergroup $K$. The main results of this article concern on the $α$-amenability of $UC(K)$ and quotients and products of hypergroups. It is also shown that a Sturm-Liouville hypergroup with a positive index is $α$-amenable if and only if $α=1$.15 pages; Keywords: Hypergroups: Sturm-Liouville, {Chébli-Trimèche}, Bessel-Kingman. $α$-Amenable HypergroupsFunctional Analysis43A62, 43A07, 46H20 (Primary); 33C10 (Secondary)text