# Definition of Holomorphic. Meaning of Holomorphic. Synonyms of Holomorphic

Here you will find one or more explanations in English for the word Holomorphic. Also in the bottom left of the page several parts of wikipedia pages related to the word Holomorphic and, of course, Holomorphic synonyms and on the right images related to the word Holomorphic.

## Definition of Holomorphic

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## Meaning of Holomorphic from wikipedia

- In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood...
- particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). Complex analysis is one of the classical branches in mathematics...
- line integrals for holomorphic functions in the complex plane. Essentially, it says that if f ( z ) {\displaystyle f(z)} is holomorphic in a simply connected...
- {\displaystyle \mathbb {C} ^{n}} , such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold...
- central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on...
- of one variable, which is the case n = 1, the functions studied are holomorphic or complex analytic so that, locally, they are power series in the variables...
- that are holomorphic functions of τ. A quasimodular form is the holomorphic part of an almost holomorphic modular form. An almost holomorphic modular form...
- functions) are a family of functions closely related to but distinct from holomorphic functions. A function of the complex variable z defined on an open set...
- of so-called (p,q)-forms: roughly, wedges of p differentials of the holomorphic coordinates with q differentials of their complex conjugates. The ensemble...
- Holomorphic dynamics (dynamics of holomorphic functions) in one complex variable in several complex variables Conformal dynamics unites holomorphic dynamics...