Technical Terms Holomorphic Function: A function of a complex variable that is differentiable in a neighbourhood of every point in its domain, ensuring it is infinitely differentiable and analytic.

A. E. Taylor, A Theorem Concerning Analytic Continuation for Functions of Several Complex Variables, Annals of Mathematics, Vol. 40, No. 4 (Oct., 1939), pp. 855-861 ...

Barnet M. Weinstock, Continuous Boundary Values of Analytic Functions of Several Complex Variables, Proceedings of the American Mathematical Society, Vol. 21, No. 2 (May, 1969), pp. 463-466 ...

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 ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

The core value of functions lies in encapsulating repetitive computational logic into independent modules, achieving ...