Definition:Order of Zero/Simple Zero
< Definition:Order of Zero(Redirected from Definition:Simple Zero)
Jump to navigation
Jump to search
Definition
Let $f: \C \to \C$ be a complex function.
Let $U \subset \C$ be such that $f$ is analytic in $U$.
Let $x \in U$ be a zero of $f$.
Let the order of the zero $x$ be $1$.
Then $x$ is a simple zero.