正せい則そく関かん数すう

noun

holomorphic function

Mathematical term for a complex-valued function that is complex differentiable in a neighborhood of every point in its domain. Equivalent to an analytic function in complex analysis.

• 正せい則そく関かん数すうは複ふく素そ平へい面めんの開かい集しゅう合ごう上じょうで定てい義ぎされる。

  A holomorphic function is defined on an open set of the complex plane.

• コーシーの積せき分ぶん定てい理りは正せい則そく関かん数すうの重じゅう要ような性せい質しつを示しめす。

  Cauchy's integral theorem demonstrates an important property of holomorphic functions.