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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 wikiPageLength "1412".
- Antiholomorphic_function wikiPageOutDegree "13".
- Antiholomorphic_function wikiPageRevisionID "680205539".
- Antiholomorphic_function wikiPageWikiLink Category:Complex_analysis.
- Antiholomorphic_function wikiPageWikiLink Category:Types_of_functions.
- Antiholomorphic_function wikiPageWikiLink Complex_conjugate.
- Antiholomorphic_function wikiPageWikiLink Complex_plane.
- Antiholomorphic_function wikiPageWikiLink Connected_space.
- Antiholomorphic_function wikiPageWikiLink Derivative.
- Antiholomorphic_function wikiPageWikiLink Function_(mathematics).
- Antiholomorphic_function wikiPageWikiLink Holomorphic_function.
- Antiholomorphic_function wikiPageWikiLink If_and_only_if.
- Antiholomorphic_function wikiPageWikiLink Mathematics.
- Antiholomorphic_function wikiPageWikiLink Open_set.
- Antiholomorphic_function wikiPageWikiLink Power_series.
- Antiholomorphic_function wikiPageWikiLinkText "Antiholomorphic function".
- Antiholomorphic_function wikiPageWikiLinkText "anti-holomorphic".
- Antiholomorphic_function wikiPageWikiLinkText "antiholomorphic function".
- Antiholomorphic_function wikiPageWikiLinkText "antiholomorphic".
- Antiholomorphic_function wikiPageUsesTemplate Template:Overline.
- Antiholomorphic_function wikiPageUsesTemplate Template:Unreferenced.
- Antiholomorphic_function subject Category:Complex_analysis.
- Antiholomorphic_function subject Category:Types_of_functions.
- Antiholomorphic_function hypernym Family.
- Antiholomorphic_function type Type.
- Antiholomorphic_function type Function.
- Antiholomorphic_function type Type.
- 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 sameAs Q2705347.
- Antiholomorphic_function sameAs Kontraŭholomorfa_funkcio.
- Antiholomorphic_function sameAs Funzione_antiolomorfa.
- Antiholomorphic_function sameAs Funkcja_antyholomorficzna.
- Antiholomorphic_function sameAs m.02cp3x.
- Antiholomorphic_function sameAs Антиголоморфная_функция.
- Antiholomorphic_function sameAs Tersholomorf_fonksiyon.
- Antiholomorphic_function sameAs Антиголоморфна_функція.
- Antiholomorphic_function sameAs Q2705347.
- Antiholomorphic_function wasDerivedFrom Antiholomorphic_function?oldid=680205539.
- Antiholomorphic_function isPrimaryTopicOf Antiholomorphic_function.