differentialoperator
A differential operator is a mathematical operator that acts on functions and involves differentiation. It can be thought of as a generalization of derivatives to higher-order functions and partial derivatives. The simplest differential operator is the derivative operator, often denoted by D, which maps a function f(x) to its derivative f'(x).
More complex differential operators can be formed by combining derivatives, multiplication by functions, and addition. For
Differential operators are fundamental in many areas of mathematics and physics, particularly in the study of