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Contour integration

In the mathematical field of complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is used to study complex-valued functions that are holomorphic in a region.

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Overview

Curves in the complex plane

Contour integrals

Direct methods

Applications of integral theorems

Example 1

Multivariable contour integrals

Integral representation

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Map overview Semantic statistics

Contour integration

Nodes74
Edges73
Triples12
Avg. degree1.97
Density0.027027
Components1

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Contour integration

Top relations

related to Contours · 6
Contour integration → Also, Contours, Gamma, The, This, Thus
related to Curves in the complex plane · 4
Contour integration → In, Moreover, These, This
is a · 1
Contour integration → method of evaluating certain integrals along paths in the complex plane

Important terminology Word statistics

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Important terminology

displaystyle contour integral frac pi int complex right dz integrals left function real residue curve infty theorem curves along integration

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Contour integrationis amethod of evaluating certain integrals along paths in the complex plane0.90text
the Cauchy integral formula or residue theorem are generally used in the following methodinstance ofwhich means that the real-valued integral is calculated simultaneously along with calculating the contour integral.Integral theorems0.80text
Contour integrationrelated to ContoursContours0.60section
Contour integrationrelated to ContoursThis0.60section
Contour integrationrelated to ContoursAlso0.60section
Contour integrationrelated to ContoursThe0.60section
Contour integrationrelated to ContoursThus0.60section
Contour integrationrelated to ContoursGamma0.60section
Contour integrationrelated to Curves in the complex planeIn0.60section
Contour integrationrelated to Curves in the complex planeThis0.60section
Contour integrationrelated to Curves in the complex planeMoreover0.60section
Contour integrationrelated to Curves in the complex planeThese0.60section

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    Min side: 3
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