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- Nevanlinna_theory abstract "In the mathematical field of complex analysis, Nevanlinna theory is part of thetheory of meromorphic functions. It was devised in 1925, by Rolf Nevanlinna. Hermann Weyl has called it "one of the few great mathematical events of (the twentieth) century." The theory describes the asymptotic distribution of solutions of the equation ƒ(z) = a, as a varies. A fundamental tool is the Nevanlinna characteristic T(r, ƒ) which measures the rate of growth of a meromorphic function.Other main contributors in the first half of the 20th century were Lars Ahlfors, André Bloch, Henri Cartan, Edward Collingwood, Otto Frostman, Frithiof Nevanlinna, Henrik Selberg, Tatsujiro Shimizu, Oswald Teichmüller,and Georges Valiron. In its original form, Nevanlinna theory deals with meromorphic functions of one complex variable defined in a disc |z| ≤ R or in the whole complex plane (R = ∞). Subsequent generalizations extended Nevanlinna theory to algebroid functions, holomorphic curves, holomorphic maps between complex manifolds of arbitrary dimension, quasiregular maps and minimal surfaces.This article describes mainly the classical version for meromorphic functions of one variable, with emphasis on functions meromorphic in the complex plane. General references for this theory are Goldberg & Ostrovskii, Hayman and Lang (1987).".
- Nevanlinna_theory wikiPageExternalLink books?id=LDLvAAAAMAAJ.
- Nevanlinna_theory wikiPageID "393135".
- Nevanlinna_theory wikiPageLength "16082".
- Nevanlinna_theory wikiPageOutDegree "57".
- Nevanlinna_theory wikiPageRevisionID "627019989".
- Nevanlinna_theory wikiPageWikiLink Acta_Mathematica.
- Nevanlinna_theory wikiPageWikiLink Ahlfors_theory.
- Nevanlinna_theory wikiPageWikiLink Alexandre_Eremenko.
- Nevanlinna_theory wikiPageWikiLink Anatolii_Goldberg.
- Nevanlinna_theory wikiPageWikiLink André_Bloch_(mathematician).
- Nevanlinna_theory wikiPageWikiLink Bounded_type_(mathematics).
- Nevanlinna_theory wikiPageWikiLink Cambridge_University_Press.
- Nevanlinna_theory wikiPageWikiLink Category:Meromorphic_functions.
- Nevanlinna_theory wikiPageWikiLink Complex_analysis.
- Nevanlinna_theory wikiPageWikiLink Complex_dynamics.
- Nevanlinna_theory wikiPageWikiLink Complex_manifold.
- Nevanlinna_theory wikiPageWikiLink Countable.
- Nevanlinna_theory wikiPageWikiLink Countable_set.
- Nevanlinna_theory wikiPageWikiLink Differential_equation.
- Nevanlinna_theory wikiPageWikiLink Edward_Collingwood.
- Nevanlinna_theory wikiPageWikiLink Entire_function.
- Nevanlinna_theory wikiPageWikiLink Euler_characteristic.
- Nevanlinna_theory wikiPageWikiLink Frithiof_Nevanlinna.
- Nevanlinna_theory wikiPageWikiLink Functional_equation.
- Nevanlinna_theory wikiPageWikiLink Gauss–Bonnet_theorem.
- Nevanlinna_theory wikiPageWikiLink Georges_Valiron.
- Nevanlinna_theory wikiPageWikiLink Henri_Cartan.
- Nevanlinna_theory wikiPageWikiLink Hermann_Weyl.
- Nevanlinna_theory wikiPageWikiLink Holomorphic_curve.
- Nevanlinna_theory wikiPageWikiLink Holomorphic_dynamics.
- Nevanlinna_theory wikiPageWikiLink Jensens_formula.
- Nevanlinna_theory wikiPageWikiLink Lars_Ahlfors.
- Nevanlinna_theory wikiPageWikiLink Logarithmic_derivative.
- Nevanlinna_theory wikiPageWikiLink Meromorphic_function.
- Nevanlinna_theory wikiPageWikiLink Minimal_surface.
- Nevanlinna_theory wikiPageWikiLink Nevanlinna_function.
- Nevanlinna_theory wikiPageWikiLink Oswald_Teichmüller.
- Nevanlinna_theory wikiPageWikiLink Otto_Frostman.
- Nevanlinna_theory wikiPageWikiLink Paul_Vojta.
- Nevanlinna_theory wikiPageWikiLink Picard_theorem.
- Nevanlinna_theory wikiPageWikiLink Picards_Theorem.
- Nevanlinna_theory wikiPageWikiLink Picards_theorem.
- Nevanlinna_theory wikiPageWikiLink Quasiregular_map.
- Nevanlinna_theory wikiPageWikiLink Rational_function.
- Nevanlinna_theory wikiPageWikiLink Riemann_sphere.
- Nevanlinna_theory wikiPageWikiLink Riemann–Hurwitz_formula.
- Nevanlinna_theory wikiPageWikiLink Rolf_Nevanlinna.
- Nevanlinna_theory wikiPageWikiLink Springer-Verlag.
- Nevanlinna_theory wikiPageWikiLink Springer_Science+Business_Media.
- Nevanlinna_theory wikiPageWikiLink Thue–Siegel–Roth_theorem.
- Nevanlinna_theory wikiPageWikiLink Upper_half-plane.
- Nevanlinna_theory wikiPageWikiLink Vojtas_conjecture.
- Nevanlinna_theory wikiPageWikiLink Walter_Hayman.
- Nevanlinna_theory wikiPageWikiLink Wolfgang_Heinrich_Johannes_Fuchs.
- Nevanlinna_theory wikiPageWikiLinkText "Nevanlinna theory".
- Nevanlinna_theory wikiPageWikiLinkText "Nevanlinna theory#Defect relation".
- Nevanlinna_theory wikiPageWikiLinkText "Nevanlinna theory#Second fundamental theorem".
- Nevanlinna_theory first "V.P.".
- Nevanlinna_theory hasPhotoCollection Nevanlinna_theory.
- Nevanlinna_theory id "Nevanlinna_theorems".
- Nevanlinna_theory id "Value-distribution_theory".
- Nevanlinna_theory last "Petrenko".
- Nevanlinna_theory title "Nevanlinna theorems".
- Nevanlinna_theory title "Value-distribution theory".
- Nevanlinna_theory wikiPageUsesTemplate Template:Citation.
- Nevanlinna_theory wikiPageUsesTemplate Template:Cite_book.
- Nevanlinna_theory wikiPageUsesTemplate Template:Overline.
- Nevanlinna_theory wikiPageUsesTemplate Template:Reflist.
- Nevanlinna_theory wikiPageUsesTemplate Template:SpringerEOM.
- Nevanlinna_theory subject Category:Meromorphic_functions.
- Nevanlinna_theory hypernym Part.
- Nevanlinna_theory type Type.
- Nevanlinna_theory type Surface.
- Nevanlinna_theory type Type.
- Nevanlinna_theory comment "In the mathematical field of complex analysis, Nevanlinna theory is part of thetheory of meromorphic functions. It was devised in 1925, by Rolf Nevanlinna. Hermann Weyl has called it "one of the few great mathematical events of (the twentieth) century." The theory describes the asymptotic distribution of solutions of the equation ƒ(z) = a, as a varies.".
- Nevanlinna_theory label "Nevanlinna theory".
- Nevanlinna_theory sameAs Nevanlinna-Theorie.
- Nevanlinna_theory sameAs ネヴァンリンナ理論.
- Nevanlinna_theory sameAs m.03bw_fn.
- Nevanlinna_theory sameAs Q1281926.
- Nevanlinna_theory sameAs Q1281926.
- Nevanlinna_theory wasDerivedFrom Nevanlinna_theory?oldid=627019989.
- Nevanlinna_theory isPrimaryTopicOf Nevanlinna_theory.