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Some Topics on Value Distribution and Differentiability in Complex and P-adic Analysis - Softcover

 
9787030204066: Some Topics on Value Distribution and Differentiability in Complex and P-adic Analysis

Synopsis

Therecentadvancements,newresultsandapplicationsofcomplexanalysisandp-adicanalysisareratherextensive.Inthisbook,thefocuscentersonthosetopicswhichpertaintotwointrinsicpropertiesofanalyticfunctions:valuedistributionandcomplexdifferentiability.Complexanalysisandp-adicanalysisaretwocloselylinked,oldbranchesofmathematicsthathaveplayedaprominentroleinthedevelopmentofmodemmathematics.PrefaceListofContributorsPartⅠValueDistributionofComplexandP-adicFunctionsChapter1TheSecondMainTheoremonGeneralizedParabolicManifolds1.1Monge-Ampereequationsandgeneralizedparabolicmanifolds1.2ProjectivizedbundlesoverSteinmanifolds1.3Meromorphicglobalforms1.4AnalyticandalgebraicPliickerFormulas:Theclassicalcase1.5Pluckersformulasforgeneralizedparabolicmanifolds1.6AnanalogueoftheAhlfors-Stollestimate1.7ThesecondmaintheoremChapter2P-adicValueDistribution2.1Ultrametricanalyticfunctions2.2Lazardsproblemandp-adicNevanlinnatheory2.3ApplicationsoftheNevanlinnatheoryChapter3SurveyonMeromorphicFunctionsofUniqueness3.1Introductionandbasicresults3.2MainresultsandexamplesChapter4ASurveyonUniquenessPolynomialsandUniqueRangeSets4.1Meromorphicfunctionssharingpoints4.2Uniquerangesetformeromorphicfunctions4.3UniquenesspolynomialsformeromorphicfunctionsChapter5OnPetrenkosTheoryofGrowthofMeromorphicFunctions5.1Thegrowthoffunctionsmeromorphicintheplane5.2Thegr

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