2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163761Following Petersson, we study the parabolic, hyperbolic and elliptic expansions of holomorphic cusp forms and the associated Poincaré series. We show how these ideas extend to the space of second-order cusp forms.28 pagesNumber Theory11F11; 11F30Parabolic, hyperbolic and elliptic Poincaré seriestext