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- Antiholomorphic_function abstract "In mathematics, antiholomorphic functions (also called antianalytic functions) are a family of functions closely related to but distinct from holomorphic functions.A function of the complex variable z defined on an open set in the complex plane is said to be antiholomorphic if its derivative with respect to z exists in the neighbourhood of each and every point in that set, where z is the complex conjugate. One can show that if f(z) is a holomorphic function on an open set D, then f(z) is an antiholomorphic function on D, where D is the reflection against the x-axis of D, or in other words, D is the set of complex conjugates of elements of D. Moreover, any antiholomorphic function can be obtained in this manner from a holomorphic function. This implies that a function is antiholomorphic if and only if it can be expanded in a power series in z in a neighborhood of each point in its domain.If a function is both holomorphic and antiholomorphic, then it is constant on any connected component of its domain.".
- Antiholomorphic_function wikiPageID "464178".
- Antiholomorphic_function wikiPageRevisionID "540844854".
- Antiholomorphic_function hasPhotoCollection Antiholomorphic_function.
- Antiholomorphic_function subject Category:Complex_analysis.
- Antiholomorphic_function subject Category:Types_of_functions.
- Antiholomorphic_function type Abstraction100002137.
- Antiholomorphic_function type Function113783816.
- Antiholomorphic_function type FunctionsAndMappings.
- Antiholomorphic_function type MathematicalRelation113783581.
- Antiholomorphic_function type Relation100031921.
- Antiholomorphic_function comment "In mathematics, antiholomorphic functions (also called antianalytic functions) are a family of functions closely related to but distinct from holomorphic functions.A function of the complex variable z defined on an open set in the complex plane is said to be antiholomorphic if its derivative with respect to z exists in the neighbourhood of each and every point in that set, where z is the complex conjugate.".
- Antiholomorphic_function label "Antiholomorphic function".
- Antiholomorphic_function label "Funkcja antyholomorficzna".
- Antiholomorphic_function label "Funzione antiolomorfa".
- Antiholomorphic_function label "Tersholomorf fonksiyon".
- Antiholomorphic_function label "Антиголоморфная функция".
- Antiholomorphic_function sameAs Funzione_antiolomorfa.
- Antiholomorphic_function sameAs Funkcja_antyholomorficzna.
- Antiholomorphic_function sameAs m.02cp3x.
- Antiholomorphic_function sameAs Q2705347.
- Antiholomorphic_function sameAs Q2705347.
- Antiholomorphic_function sameAs Antiholomorphic_function.
- Antiholomorphic_function wasDerivedFrom Antiholomorphic_function?oldid=540844854.
- Antiholomorphic_function isPrimaryTopicOf Antiholomorphic_function.