Several complex variables

special functions of several complex variables

study of complex manifolds and several complex variables

domain which is maximal in the sense that there exists a holomorphic function on this domain which cannot be extended to a bigger domain

equivalence between "separate" analyticity and analyticity in multiple variables

In the theory of functions of several complex variables, a branch of mathematics, a polydisc is a Cartesian product of discs.

theorem of analytic functions of several complex variables

holomorphically convex and holomorphically separable complex manifold

proposition in complex analysis

right|thumb|The complex exponential function mapping biholomorphically a rectangle to a quarter-annulus. In the mathematical theory of functions of one or more complex variables, and also in complex algebraic geometry, a biholomorphism or biholomorphic function is a bijective holomorphic function whose inverse is also holomorphic.

functions of multiple variables which are complex numbers

theorem that singularities of holomorphic functions of several variables cannot be compactly supported

object much like an algebraic variety but defined as the zero set of finitely many (real- or complex-)analytic functions

type of function in complex analysis

Theorem in mathematics about unions of domains of holomorphy

space formed by the n-tuples of complex numbers

creating a meromorphic function in multiple variables

In mathematics, more precisely in the theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cn. Pseudoconvex sets are important, as they allow for classification of domains of holomorphy.