2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68063In 1987, C. Sabbah proved the existence of Bernstein-Sato polynomials associated with several analytic functions. The purpose of this article is to give a more elementary and constructive proof of the result of C. Sabbah based on the notion of the analytic Grobner fan of a D-module.in french, 16 pages, 4 figuresRings and AlgebrasCommutative Algebra16S32; 13P10; 16W50; 16W70text