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Meromorphic function

In the mathematical field of complex analysis, a meromorphic function on an open subset D {\displaystyle D} of the complex plane is a function that is holomorphic on all of D {\displaystyle D} except for a set of isolated points, which are poles of the function. The term comes from the Greek meros (μέρος), meaning 'part'.

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On Riemann surfaces

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Meromorphic function

Nodes51
Edges50
Triples37
Avg. degree1.96
Density0.039216
Components1

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Meromorphic function

Top relations

related to Terminology · 8
Meromorphic function → Augustin-Louis Cauchy's, Charles Briot, Greek, Holomorphic, In, Jean-Claude Bouquet, The, This
related to Examples · 6
Meromorphic function → All, Furthermore, However, Riemann, The, Thus
related to Higher dimensions · 6
Meromorphic function → For, Here, In, Riemann, There, Unlike
related to On Riemann surfaces · 6
Meromorphic function → GAGA, On, Riemann, Thereby, This, When
related to Heuristic description · 5
Meromorphic function → From, If, Intuitively, Such, This
related to Properties · 4
Meromorphic function → By, Since, The, Thus
is a · 2
Meromorphic function → ratio of two well-behaved, same as a holomorphic function that maps to the Riemann sphere and which is not the constant function equal to

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meromorphic function holomorphic complex functions displaystyle plane riemann whole every two defined poles field frac set sin surface isolated rational

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SubjectPredicateObjectConfidenceSrc
Meromorphic functionis aratio of two well-behaved0.90text
Meromorphic functionis asame as a holomorphic function that maps to the Riemann sphere and which is not the constant function equal to0.90text
Meromorphic functionrelated to ExamplesAll0.60section
Meromorphic functionrelated to ExamplesFurthermore0.60section
Meromorphic functionrelated to ExamplesThe0.60section
Meromorphic functionrelated to ExamplesRiemann0.60section
Meromorphic functionrelated to ExamplesHowever0.60section
Meromorphic functionrelated to ExamplesThus0.60section
Meromorphic functionrelated to Heuristic descriptionIntuitively0.60section
Meromorphic functionrelated to Heuristic descriptionSuch0.60section
Meromorphic functionrelated to Heuristic descriptionIf0.60section
Meromorphic functionrelated to Heuristic descriptionFrom0.60section

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