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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 wikiPageRevisionID "600813712".
- 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 subject Category:Meromorphic_functions.
- Nevanlinna_theory type Abstraction100002137.
- Nevanlinna_theory type Function113783816.
- Nevanlinna_theory type MathematicalRelation113783581.
- Nevanlinna_theory type MeromorphicFunctions.
- Nevanlinna_theory type Relation100031921.
- 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 label "Nevanlinna-Theorie".
- Nevanlinna_theory sameAs Nevanlinna-Theorie.
- Nevanlinna_theory sameAs m.03bw_fn.
- Nevanlinna_theory sameAs Q1281926.
- Nevanlinna_theory sameAs Q1281926.
- Nevanlinna_theory sameAs Nevanlinna_theory.
- Nevanlinna_theory wasDerivedFrom Nevanlinna_theory?oldid=600813712.
- Nevanlinna_theory isPrimaryTopicOf Nevanlinna_theory.