antiderivative of complex function
where the path begins at a fixed point of and ends at the point of , is independent of the path for each value of , then (1) defines an analytic function with domain . This function is an antiderivative of in , i.e. (http://planetmath.org/Ie) at all points of , the condition
If is an analytic function in a simply connected open domain , then has an antiderivative in , e.g. (http://planetmath.org/Eg) the function defined by (1) where the path is within . If lies within and connects the points and , then
where is an arbitrary antiderivative of in .
|Title||antiderivative of complex function|
|Date of creation||2014-02-23 15:09:20|
|Last modified on||2014-02-23 15:09:20|
|Last modified by||pahio (2872)|