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- Analytic_continuation abstract "In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which it is initially defined becomes divergent. The step-wise continuation technique may, however, come up against difficulties. These may have an essentially topological nature, leading to inconsistencies (defining more than one value). They may alternatively have to do with the presence of mathematical singularities. The case of several complex variables is rather different, since singularities then cannot be isolated points, and its investigation was a major reason for the development of sheaf cohomology.".
- Analytic_continuation thumbnail Imaginary_log_analytic_continuation.png?width=300.
- Analytic_continuation wikiPageExternalLink kmath649.htm.
- Analytic_continuation wikiPageID "80842".
- Analytic_continuation wikiPageRevisionID "606659715".
- Analytic_continuation hasPhotoCollection Analytic_continuation.
- Analytic_continuation id "p/a012200".
- Analytic_continuation title "Analytic Continuation".
- Analytic_continuation title "Analytic continuation".
- Analytic_continuation urlname "AnalyticContinuation".
- Analytic_continuation subject Category:Analytic_functions.
- Analytic_continuation subject Category:Meromorphic_functions.
- Analytic_continuation type Abstraction100002137.
- Analytic_continuation type AnalyticFunctions.
- Analytic_continuation type Function113783816.
- Analytic_continuation type MathematicalRelation113783581.
- Analytic_continuation type MeromorphicFunctions.
- Analytic_continuation type Relation100031921.
- Analytic_continuation comment "In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which it is initially defined becomes divergent. The step-wise continuation technique may, however, come up against difficulties.".
- Analytic_continuation label "Analytic continuation".
- Analytic_continuation label "Analytische Fortsetzung".
- Analytic_continuation label "Analytische voortzetting".
- Analytic_continuation label "Extensión analítica".
- Analytic_continuation label "Extensão analítica".
- Analytic_continuation label "Prolongement analytique".
- Analytic_continuation label "Prolungamento analitico".
- Analytic_continuation label "Przedłużenie analityczne".
- Analytic_continuation label "Аналитическое продолжение".
- Analytic_continuation label "امتداد تحليلي".
- Analytic_continuation label "解析接続".
- Analytic_continuation sameAs Analytische_Fortsetzung.
- Analytic_continuation sameAs Extensión_analítica.
- Analytic_continuation sameAs Prolongement_analytique.
- Analytic_continuation sameAs Prolungamento_analitico.
- Analytic_continuation sameAs 解析接続.
- Analytic_continuation sameAs 해석적_연속.
- Analytic_continuation sameAs Analytische_voortzetting.
- Analytic_continuation sameAs Przedłużenie_analityczne.
- Analytic_continuation sameAs Extensão_analítica.
- Analytic_continuation sameAs m.0kwzn.
- Analytic_continuation sameAs Q485287.
- Analytic_continuation sameAs Q485287.
- Analytic_continuation sameAs Analytic_continuation.
- Analytic_continuation wasDerivedFrom Analytic_continuation?oldid=606659715.
- Analytic_continuation depiction Imaginary_log_analytic_continuation.png.
- Analytic_continuation isPrimaryTopicOf Analytic_continuation.
