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.
正則関数は複素平面の開集合上で定義される。
A holomorphic function is defined on an open set of the complex plane.
コーシーの積分定理は正則関数の重要な性質を示す。
Cauchy's integral theorem demonstrates an important property of holomorphic functions.