2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64027Let f_λ be a family of holomorphic functions in the unit disk, holomorphic in parameter λ\in U\subset\C^{n}. We estimate the number of zeros of f_λ in a smaller disk via some characteristic of the ideal generated by Taylor coefficients of f_λ. Our estimate is locally sharp and improve the previous estimate obtained by Roytwarf and Yomdin.11 pagesComplex Variables30B10; 30C55text