Bernstein–Sato polynomial

The Bernstein–Sato polynomial, often denoted as \( b(f, s) \), is a polynomial associated with a holomorphic function \( f : \mathbb{C}^n \to \mathbb{C} \), where \( n \) is a positive integer. This concept arises in the study of complex algebraic geometry and is closely tied to the theory of D-modules and the area of singularity theory.