Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Meromorphic_function> ?p ?o. }
Showing items 1 to 44 of
44
with 100 items per page.
- Meromorphic_function abstract "In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points (the poles of the function), at each of which the function must have a Laurent series. (The terminology comes from the Ancient Greek meros (μέρος), meaning part, as opposed to holos (ὅλος), meaning whole.)Every meromorphic function on D can be expressed as the ratio between two holomorphic functions (with the denominator not constant 0) defined on D: any pole must coincide with a zero of the denominator.Intuitively then, a meromorphic function is a ratio of two well-behaved (holomorphic) functions. Such a function will still be well-behaved, except possibly at the points where the denominator of the fraction is zero. (If the denominator has a zero at z and the numerator does not, then the value of the function will be infinite; if both parts have a zero at z, then one must compare the multiplicities of these zeros.)From an algebraic point of view, if D is connected, then the set of meromorphic functions is the field of fractions of the integral domain of the set of holomorphic functions. This is analogous to the relationship between , the rational numbers, and , the integers.Sometimes the expression "meromorphic at a" implies at holomorphic in a punctured neighborhood of a.Additionally, in group theory of the 1930s, a meromorphic function (or simply a meromorph) was a function from a group G into itself which preserves the product on the group. The image of this function was called an automorphism of G. (Similarly, a homomorphic function (or homomorph) was a function between groups which preserved the product while a homomorphism was the image of a homomorph.) This terminology has been replaced with use of endomorphism for the function itself with no special name given to the image of the function and thus meromorph no longer has an impliedmeaning within group theory.".
- Meromorphic_function thumbnail Gamma_abs_3D.png?width=300.
- Meromorphic_function wikiPageID "80857".
- Meromorphic_function wikiPageRevisionID "581307055".
- Meromorphic_function hasPhotoCollection Meromorphic_function.
- Meromorphic_function id "p/m063460".
- Meromorphic_function title "Meromorphic function".
- Meromorphic_function subject Category:Meromorphic_functions.
- Meromorphic_function type Abstraction100002137.
- Meromorphic_function type Function113783816.
- Meromorphic_function type MathematicalRelation113783581.
- Meromorphic_function type MeromorphicFunctions.
- Meromorphic_function type Relation100031921.
- Meromorphic_function comment "In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points (the poles of the function), at each of which the function must have a Laurent series.".
- Meromorphic_function label "Fonction méromorphe".
- Meromorphic_function label "Función meromorfa".
- Meromorphic_function label "Funkcja meromorficzna".
- Meromorphic_function label "Funzione meromorfa".
- Meromorphic_function label "Função meromorfa".
- Meromorphic_function label "Meromorfe functie".
- Meromorphic_function label "Meromorphe Funktion".
- Meromorphic_function label "Meromorphic function".
- Meromorphic_function label "Мероморфная функция".
- Meromorphic_function label "دالة جزئية الشكل".
- Meromorphic_function label "亚纯函数".
- Meromorphic_function label "有理型関数".
- Meromorphic_function sameAs Meromorfní_funkce.
- Meromorphic_function sameAs Meromorphe_Funktion.
- Meromorphic_function sameAs Μερομορφική_συνάρτηση.
- Meromorphic_function sameAs Función_meromorfa.
- Meromorphic_function sameAs Fonction_méromorphe.
- Meromorphic_function sameAs Funzione_meromorfa.
- Meromorphic_function sameAs 有理型関数.
- Meromorphic_function sameAs 유리형함수.
- Meromorphic_function sameAs Meromorfe_functie.
- Meromorphic_function sameAs Funkcja_meromorficzna.
- Meromorphic_function sameAs Função_meromorfa.
- Meromorphic_function sameAs m.0kx1w.
- Meromorphic_function sameAs Q217616.
- Meromorphic_function sameAs Q217616.
- Meromorphic_function sameAs Meromorphic_function.
- Meromorphic_function wasDerivedFrom Meromorphic_function?oldid=581307055.
- Meromorphic_function depiction Gamma_abs_3D.png.
- Meromorphic_function isPrimaryTopicOf Meromorphic_function.
