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- Holomorphic_function abstract "In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain. The existence of a complex derivative in a neighborhood is a very strong condition, for it implies that any holomorphic function is actually infinitely differentiable and equal to its own Taylor series.The term analytic function is often used interchangeably with “holomorphic function”, although the word “analytic” is also used in a broader sense to describe any function (real, complex, or of more general type) that can be written as a convergent power series in a neighborhood of each point in its domain. The fact that the class of complex analytic functions coincides with the class of holomorphic functions is a major theorem in complex analysis.Holomorphic functions are also sometimes referred to as regular functions or as conformal maps. A holomorphic function whose domain is the whole complex plane is called an entire function. The phrase "holomorphic at a point z0" means not just differentiable at z0, but differentiable everywhere within some neighborhood of z0 in the complex plane.".
- Holomorphic_function thumbnail Conformal_map.svg?width=300.
- Holomorphic_function wikiPageID "14110".
- Holomorphic_function wikiPageRevisionID "602588891".
- Holomorphic_function hasPhotoCollection Holomorphic_function.
- Holomorphic_function id "p/a012240".
- Holomorphic_function title "Analytic function".
- Holomorphic_function subject Category:Analytic_functions.
- Holomorphic_function type Abstraction100002137.
- Holomorphic_function type AnalyticFunctions.
- Holomorphic_function type Function113783816.
- Holomorphic_function type MathematicalRelation113783581.
- Holomorphic_function type Relation100031921.
- Holomorphic_function comment "In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.".
- Holomorphic_function label "Fonction holomorphe".
- Holomorphic_function label "Función holomorfa".
- Holomorphic_function label "Funkcja holomorficzna".
- Holomorphic_function label "Funzione olomorfa".
- Holomorphic_function label "Função holomorfa".
- Holomorphic_function label "Holomorfe functie".
- Holomorphic_function label "Holomorphe Funktion".
- Holomorphic_function label "Holomorphic function".
- Holomorphic_function label "Голоморфная функция".
- Holomorphic_function label "دالة تامة الشكل".
- Holomorphic_function label "全纯函数".
- Holomorphic_function label "正則関数".
- Holomorphic_function sameAs Holomorfní_funkce.
- Holomorphic_function sameAs Holomorphe_Funktion.
- Holomorphic_function sameAs Función_holomorfa.
- Holomorphic_function sameAs Fonction_holomorphe.
- Holomorphic_function sameAs Funzione_olomorfa.
- Holomorphic_function sameAs 正則関数.
- Holomorphic_function sameAs 정칙함수.
- Holomorphic_function sameAs Holomorfe_functie.
- Holomorphic_function sameAs Funkcja_holomorficzna.
- Holomorphic_function sameAs Função_holomorfa.
- Holomorphic_function sameAs m.03nq1.
- Holomorphic_function sameAs Q207476.
- Holomorphic_function sameAs Q207476.
- Holomorphic_function sameAs Holomorphic_function.
- Holomorphic_function wasDerivedFrom Holomorphic_function?oldid=602588891.
- Holomorphic_function depiction Conformal_map.svg.
- Holomorphic_function isPrimaryTopicOf Holomorphic_function.
