Analytic functions, also known as holomorphic functions, form the cornerstone of complex analysis, widely studied for their elegant properties and deep connections in both pure and applied mathematics ...

Analytic functions and function spaces are fundamental concepts in complex analysis and functional analysis. Analytic functions are those that are locally represented by power series, and they play a ...

In a previous paper (Lyness and Moler [1]), several closely related formulas of use for obtaining a derivative of an analytic function numerically are derived. Each of these formulas consists of a ...

This is a preview. Log in through your library . Abstract A new proof of the corona theorem for finitely connected domains is given. It is based on a result on the existence of a meromorphic selection ...