Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Meromorphic_function> ?p ?o }
- Meromorphic_function abstract "In the mathematical field of 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. This 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, 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.".
- Meromorphic_function thumbnail Gamma_abs_3D.png?width=300.
- Meromorphic_function wikiPageID "80857".
- Meromorphic_function wikiPageLength "6996".
- Meromorphic_function wikiPageOutDegree "50".
- Meromorphic_function wikiPageRevisionID "687899457".
- Meromorphic_function wikiPageWikiLink Algebraic_geometry_and_analytic_geometry.
- Meromorphic_function wikiPageWikiLink Analytic_continuation.
- Meromorphic_function wikiPageWikiLink Ancient_Greek.
- Meromorphic_function wikiPageWikiLink Category:Meromorphic_functions.
- Meromorphic_function wikiPageWikiLink Codimension.
- Meromorphic_function wikiPageWikiLink Complex_analysis.
- Meromorphic_function wikiPageWikiLink Complex_logarithm.
- Meromorphic_function wikiPageWikiLink Complex_manifold.
- Meromorphic_function wikiPageWikiLink Complex_number.
- Meromorphic_function wikiPageWikiLink Complex_plane.
- Meromorphic_function wikiPageWikiLink Complex_torus.
- Meromorphic_function wikiPageWikiLink Connected_space.
- Meromorphic_function wikiPageWikiLink Countable_set.
- Meromorphic_function wikiPageWikiLink Elliptic_curve.
- Meromorphic_function wikiPageWikiLink Elliptic_function.
- Meromorphic_function wikiPageWikiLink Essential_singularity.
- Meromorphic_function wikiPageWikiLink Field_(mathematics).
- Meromorphic_function wikiPageWikiLink Field_extension.
- Meromorphic_function wikiPageWikiLink Field_of_fractions.
- Meromorphic_function wikiPageWikiLink Function_(mathematics).
- Meromorphic_function wikiPageWikiLink Gamma_function.
- Meromorphic_function wikiPageWikiLink Group_theory.
- Meromorphic_function wikiPageWikiLink Holomorphic_function.
- Meromorphic_function wikiPageWikiLink Homeomorphism.
- Meromorphic_function wikiPageWikiLink Integer.
- Meromorphic_function wikiPageWikiLink Integral_domain.
- Meromorphic_function wikiPageWikiLink Isolated_point.
- Meromorphic_function wikiPageWikiLink Laurent_series.
- Meromorphic_function wikiPageWikiLink Limit_point.
- Meromorphic_function wikiPageWikiLink Neighbourhood_(mathematics).
- Meromorphic_function wikiPageWikiLink Open_set.
- Meromorphic_function wikiPageWikiLink Pole_(complex_analysis).
- Meromorphic_function wikiPageWikiLink Rational_function.
- Meromorphic_function wikiPageWikiLink Rational_number.
- Meromorphic_function wikiPageWikiLink Removable_singularity.
- Meromorphic_function wikiPageWikiLink Riemann_sphere.
- Meromorphic_function wikiPageWikiLink Riemann_surface.
- Meromorphic_function wikiPageWikiLink Riemann_zeta_function.
- Meromorphic_function wikiPageWikiLink Several_complex_variables.
- Meromorphic_function wikiPageWikiLink Springer_Science+Business_Media.
- Meromorphic_function wikiPageWikiLink Verlag_und_Druck_von_B.G.Teubner.
- Meromorphic_function wikiPageWikiLink Wikt:μέρος.
- Meromorphic_function wikiPageWikiLink Wikt:ὅλος.
- Meromorphic_function wikiPageWikiLink Zero_(complex_analysis).
- Meromorphic_function wikiPageWikiLink File:Gamma_abs_3D.png.
- Meromorphic_function wikiPageWikiLinkText "Meromorphic function".
- Meromorphic_function wikiPageWikiLinkText "meromorphic function".
- Meromorphic_function wikiPageWikiLinkText "meromorphic".
- Meromorphic_function wikiPageWikiLinkText "meromorphically".
- Meromorphic_function wikiPageWikiLinkText "transcendental meromorphic functions".
- Meromorphic_function id "p/m063460".
- Meromorphic_function title "Meromorphic function".
- Meromorphic_function wikiPageUsesTemplate Template:Authority_control.
- Meromorphic_function wikiPageUsesTemplate Template:Citation.
- Meromorphic_function wikiPageUsesTemplate Template:Clarify.
- Meromorphic_function wikiPageUsesTemplate Template:Reflist.
- Meromorphic_function wikiPageUsesTemplate Template:Springer.
- Meromorphic_function subject Category:Meromorphic_functions.
- Meromorphic_function hypernym Function.
- Meromorphic_function type Disease.
- Meromorphic_function type Type.
- Meromorphic_function type Redirect.
- Meromorphic_function type Surface.
- Meromorphic_function type Type.
- Meromorphic_function type Thing.
- Meromorphic_function comment "In the mathematical field of 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 "Meromorphic function".
- Meromorphic_function sameAs Q217616.
- Meromorphic_function sameAs دالة_جزئية_الشكل.
- Meromorphic_function sameAs Мероморфна_функция.
- Meromorphic_function sameAs Funció_meromorfa.
- Meromorphic_function sameAs Meromorfní_funkce.
- Meromorphic_function sameAs Meromorphe_Funktion.
- Meromorphic_function sameAs Μερομορφική_συνάρτηση.
- Meromorphic_function sameAs Función_meromorfa.
- Meromorphic_function sameAs تابع_مرومورفیک.
- Meromorphic_function sameAs Meromorfinen_funktio.
- Meromorphic_function sameAs Fonction_méromorphe.
- Meromorphic_function sameAs פונקציה_מרומורפית.
- Meromorphic_function sameAs Meromorf_függvények.
- Meromorphic_function sameAs Կոմպլեքս_փոփոխականի_ֆունկցիայի_բևեռ.
- Meromorphic_function sameAs Funzione_meromorfa.
- Meromorphic_function sameAs 有理型関数.
- Meromorphic_function sameAs 유리형_함수.
- Meromorphic_function sameAs Funziun_merumorfa.
- Meromorphic_function sameAs Meromorfinė_funkcija.
- Meromorphic_function sameAs Meromorfe_functie.
- Meromorphic_function sameAs Meromorf.
- Meromorphic_function sameAs Funkcja_meromorficzna.
- Meromorphic_function sameAs Função_meromorfa.
- Meromorphic_function sameAs m.0kx1w.
- Meromorphic_function sameAs Мероморфная_функция.
- Meromorphic_function sameAs Funzioni_merumorfa.
- Meromorphic_function sameAs Meromorfná_funkcia.