2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165016We discuss Sekiguchi-type differential operators, their eigenvalues, and a generalization of Andrews-Goulden-Jackson formula. These will be applied to extract explicit formulae involving shifted partitions and hook lengths.10 pagesCombinatoricsOperator Algebras05A17; 05E05Differential operators, shifted parts, and hook lengthstext