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Holomorphic function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space ⁠ C n {\displaystyle \mathbb {C} ^{n}} ⁠. The existence of a complex derivative in a neighbourhood is a very strong condition: It implies that a…

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Several variables

Extension to functional analysis

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Holomorphic function

Nodes98
Edges97
Triples38
Avg. degree1.98
Density0.020408
Components1

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Holomorphic function

Top relations

related to Examples · 10
Holomorphic function → All, Another, As, Cauchy, Euler's, Im, Re, Riemann, The, Therefore
related to Terminology · 8
Holomorphic function → An, Augustin-Louis Cauchy's, Cauchy, Charles Briot, Greek, Jean-Claude Bouquet, The, Today
related to Properties · 6
Holomorphic function → Because, Cauchy, Furthermore, If, Riemann, That
related to Several variables · 6
Holomorphic function → Cauchy, Hartogs, More, Osgood's, Riemann, The
related to Extension to functional analysis · 5
Holomorphic function → Banach, For, Fréchet, Gateaux, The
see also · 2
Holomorphic function → Antiderivative, Antiholomorphic
is a · 1
Holomorphic function → complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space

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Important terminology

holomorphic displaystyle function complex domain point functions derivative neighbourhood analytic mathbb differentiable every cauchy real variables analysis plane riemann equations

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SubjectPredicateObjectConfidenceSrc
Holomorphic functionis acomplex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space0.90text
Holomorphic functionrelated to ExamplesAll0.60section
Holomorphic functionrelated to ExamplesEuler's0.60section
Holomorphic functionrelated to ExamplesThe0.60section
Holomorphic functionrelated to ExamplesAs0.60section
Holomorphic functionrelated to ExamplesCauchy0.60section
Holomorphic functionrelated to ExamplesRiemann0.60section
Holomorphic functionrelated to ExamplesTherefore0.60section
Holomorphic functionrelated to ExamplesRe0.60section
Holomorphic functionrelated to ExamplesIm0.60section
Holomorphic functionrelated to ExamplesAnother0.60section
Holomorphic functionrelated to Extension to functional analysisThe0.60section

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