Antiderivative (complex analysis)

In complex analysis, a branch of mathematics, the antiderivative, or primitive, of a complex-valued function g is a function whose complex derivative is g. More precisely, given an open set U {\displaystyle U} in the complex plane and a function g : U → C , {\displaystyle g:U\to \mathbb {C} ,} the antiderivative of g {\displaystyle g} is a function f : U → C {\displaystyle f:U\to \mathbb {C} } that satisfies d f d z = g {\displaystyle {\frac {\mathrm {d} f}{\mathrm {d} z}}=g} .

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