In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in …

2014年11月21日 · A holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain. Can you …

A function $f : \mathbb{C} \rightarrow \mathbb{C}$ is said to be holomorphic in an open set $A \subset \mathbb{C}$ if it is differentiable at each point of the set $A$. The function $f : …

2 天之前 · Holomorphic Function A synonym for analytic function , regular function, differentiable function, complex differentiable function, and holomorphic map (Krantz 1999, p. 16). The word …

In complex analysis, a holomorphic function is a complex differentiable function. The condition of complex differentiability is very strong, and leads to an especially elegant theory of calculus for …

1. Holomorphic functions 1.1. Complex-valued functions. At the start of the study of calculus, we usually consider real-valued functions f of a real variable x. Now we want to replace real …

Chapter 1. The Holomorphic Functions March 31, 2003 We begin with the description of complex numbers and their basic algebraic prop-erties. We will assume that the reader had some …