- function of several complex variables
- функция нескольких комплексных переменных
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Several complex variables — The theory of functions of several complex variables is the branch of mathematics dealing with functions : f ( z1, z2, ..., zn ) on the space C n of n tuples of complex numbers. As in complex analysis, which is the case n = 1 but of a distinct… … Wikipedia
Complex analysis — Plot of the function f(x)=(x2 1)(x 2 i)2/(x2 + 2 + 2i). The hue represents the function argument, while the brightness represents the magnitude. Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch … Wikipedia
Complex multiplication — This article is about certain endomorphism rings. For information about multiplication of complex numbers, see complex numbers. In mathematics, complex multiplication is the theory of elliptic curves E that have an endomorphism ring larger than… … Wikipedia
Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex … Wikipedia
List of complex analysis topics — Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied … Wikipedia
Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics … Wikipedia
Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… … Wikipedia
Theta function — heta 1 with u = i pi z and with nome q = e^{i pi au}= 0.1 e^{0.1 i pi}. Conventions are (mathematica): heta 1(u;q) = 2 q^{1/4} sum {n=0}^infty ( 1)^n q^{n(n+1)} sin((2n+1)u) this is: heta 1(u;q) = sum {n= infty}^{n=infty} ( 1)^{n 1/2}… … Wikipedia
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Plurisubharmonic function — In mathematics, plurisubharmonic functions form an important class of functions used in complex analysis. On a Kahler manifold,plurisubharmonic functions form a subset of the subharmonic functions. However, unlikesubharmonic functions (which are… … Wikipedia
Subharmonic function — In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Intuitively, subharmonic functions are related to convex… … Wikipedia