Definition of Holomorphically. Meaning of Holomorphically. Synonyms of Holomorphically

- In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood...
- under the name holomorphically symplectic manifolds. The holonomy group of any Calabi–Yau metric on a simply connected compact holomorphically symplectic...
- particularly concerned with analytic functions of a complex variable, that is, holomorphic functions. The concept can be extended to functions of several complex...
- π : E → X is holomorphic. Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle...
- polynomially convex hull contains the holomorphically convex hull. The domain G {\displaystyle G} is called holomorphically convex if for every compact subset...
- ^{n}} are holomorphically separable, in particular, all domains in C n {\displaystyle \mathbb {C} ^{n}} and all Stein manifolds. A holomorphically separable...
- {\displaystyle f} of a complex variable z {\displaystyle z} : is said to be holomorphic at a point a {\displaystyle a} if it is differentiable at every point...
- } {\displaystyle U\setminus \{a\}} . We say f {\displaystyle f} is holomorphically extendable over U {\displaystyle U} if such a g {\displaystyle g} exists...
- mathematics, in the field of complex geometry, a holomorphic curve in a complex manifold M is a non-constant holomorphic map f from the complex plane to M. Nevanlinna...
- functions) are a family of functions closely related to but distinct from holomorphic functions. A function of the complex variable z {\displaystyle z} defined...