The theory of functions of several complex variables is the branch of mathematics dealing with functions defined on the complex coordinate space C n {\displaystyle...

analytic functions of a complex variable, that is, holomorphic functions. The concept can be extended to functions of several complex variables. Complex analysis...

idea of a function of a real variable to several variables. The "input" variables take real values, while the "output", also called the "value of the function"...

holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in...

1927 in the course of his studies on the theory of functions of several complex variables, are partial differential operators of the first order which...

))={\mathfrak {c}}} . Real analysis Function of several real variables Complex analysis Function of several complex variables R. Courant. Differential and Integral...

theory of functions of several complex variables, Hartogs's extension theorem is a statement about the singularities of holomorphic functions of several variables...

function of several real variables or of a function of several complex variables. There are various standard ways for denoting functions. The most commonly...

In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces...

Analytic functions of several variables have some of the same properties as analytic functions of one variable. However, especially for complex analytic...

Clarita Valley, California, US Function of several complex variables, This field of mathematics is called several complex variables and is often abbreviated...

coordinate separately. Several complex variables is the study of such holomorphic functions in n variables. More generally, the complex n-space is the target space...

concerned with the study of spaces such as complex manifolds and complex algebraic varieties, functions of several complex variables, and holomorphic constructions...

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

convex-(down), function. Many properties of convex functions have the same simple formulation for functions of many variables as for functions of one variable. See...

{\textstyle n,} the function is smooth or equivalently, of class C ∞ . {\displaystyle C^{\infty }.} A function of several real variables f: Rm → Rn is said...

"Chapter III. Variety (Sec. B. Anlytic cover)". Analytic Functions of Several Complex Variables. American Mathematical Soc. ISBN 9780821821657. Gunning...

analytic functions of several complex variables, at a given point P. It states that such a function is, up to multiplication by a function not zero at...

theory of special functions, because such elliptic functions, or abelian functions of several complex variables, are then 'very special' functions satisfying...

distribution functions are also used to specify the distribution of multivariate random variables. The cumulative distribution function of a real-valued...

the theory of functions of several complex variables, a pluriharmonic function is a real valued function which is locally the real part of a holomorphic...

{\displaystyle f} is constant. In several complex variables, plurisubharmonic functions are used to describe pseudoconvex domains, domains of holomorphy and Stein...

are two questions in several complex variables, concerning the existence of meromorphic functions that are specified in terms of local data. They were...

problem is at a deeper level of abstraction, because it is much harder to manipulate analytic functions of several complex variables. The formal definition...

unknown variable in trigonometry The voiceless dental fricative, spelled θ A special function of several complex variables One of the Chebyshev functions in...

that a real-valued, continuous function φ {\displaystyle \varphi } of a complex variable (that is, of two real variables) defined on a set G ⊂ C {\displaystyle...

proposition in complex analysis. It states that a continuous function of several complex variables that is holomorphic in each variable separately is holomorphic...

work on partial differential equations and on the theory of functions of several complex variables. Lewy was born to a Jewish family in Breslau, Silesia...

mathematical theory of functions of one or more complex variables, and also in complex algebraic geometry, a biholomorphism or biholomorphic function is a bijective...

function in Wiktionary, the free dictionary. Theta functions ϑ ( z ; τ ) {\displaystyle \vartheta (z;\tau )} are special functions of several complex...