About: Nachbin's theorem

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Nachbin's theorem Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Theorem106752293, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FNachbin%27s_theorem&invfp=IFP_OFF&sas=SAME_AS_OFF

In mathematics, in the area of complex analysis, Nachbin's theorem (named after Leopoldo Nachbin) is commonly used to establish a bound on the growth rates for an analytic function. This article provides a brief review of growth rates, including the idea of a function of exponential type. Classification of growth rates based on type help provide a finer tool than big O or Landau notation, since a number of theorems about the analytic structure of the bounded function and its integral transforms can be stated. In particular, Nachbin's theorem may be used to give the domain of convergence of the generalized Borel transform, given below.

Attributes	Values
rdf:type	yago:WikicatTheoremsInComplexAnalysis yago:WikicatSummabilityMethods yago:Ability105616246 yago:Abstraction100002137 yago:Cognition100023271 yago:Communication100033020 yago:Know-how105616786 yago:Message106598915 yago:Method105660268 yago:Proposition106750804 yago:PsychologicalFeature100023100 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Nachbin's theorem (en) Teorema de Nachbin (pt)
rdfs:comment	In mathematics, in the area of complex analysis, Nachbin's theorem (named after Leopoldo Nachbin) is commonly used to establish a bound on the growth rates for an analytic function. This article provides a brief review of growth rates, including the idea of a function of exponential type. Classification of growth rates based on type help provide a finer tool than big O or Landau notation, since a number of theorems about the analytic structure of the bounded function and its integral transforms can be stated. In particular, Nachbin's theorem may be used to give the domain of convergence of the generalized Borel transform, given below. (en) Em matemática, na área de análise complexa, o teorema de Nachbin (referente a Leopoldo Nachbin) é usado para estabelecer um limite no crescimento de uma função analítica. Este artigo fornecerá uma breve revisão das taxas de crescimento, incluindo a ideia de uma função de tipo exponencial. A classificação das taxas de crescimento baseadas na ajuda do tipo fornece uma ferramenta mais fina do que a notação grande de O ou de Landau, desde que um número de teoremas sobre a estrutura analítica da função delimitada e suas transformações integrais pode ser indicada. Em particular, o teorema de Nachbin pode ser usado para dar o domínio da convergência da transformada Borel generalizada, dada abaixo (pt)
dcterms:subject	Integral transforms Summability methods Theorems in complex analysis
Wikipage page ID	4081361 (xsd:integer)
Wikipage revision ID	1069893251 (xsd:integer)
Link from a Wikipage to another Wikipage	Carlson's theorem Mellin transform Borel summation Uniform space Van Wijngaarden transformation Integral transform Complete space Complex analysis Complex plane Analytic function Mathematics Norm (mathematics) Entire function Fréchet space Leopoldo Nachbin Cauchy's integral formula Cesàro summation Divergent series Lambert summation Abelian and tauberian theorems Integral transforms Summability methods Theorems in complex analysis Landau notation Laplace transform Big O notation Mittag-Leffler summation Phragmén–Lindelöf principle Ratio test Infimum Euler summation Integral transforms Topological space Contour of integration Complex variable
sameAs	Nachbin's theorem Nachbin's theorem Nachbin's theorem Nachbin's theorem Nachbin's theorem
dbp:wikiPageUsesTemplate	dbt:Springer dbt:About dbt:Main dbt:Short_description
author	A.F. Leont'ev (en)
id	B/b017190 (en) F/f041990 (en)
title	Borel transform (en) Function of exponential type (en)
has abstract	In mathematics, in the area of complex analysis, Nachbin's theorem (named after Leopoldo Nachbin) is commonly used to establish a bound on the growth rates for an analytic function. This article provides a brief review of growth rates, including the idea of a function of exponential type. Classification of growth rates based on type help provide a finer tool than big O or Landau notation, since a number of theorems about the analytic structure of the bounded function and its integral transforms can be stated. In particular, Nachbin's theorem may be used to give the domain of convergence of the generalized Borel transform, given below. (en) Em matemática, na área de análise complexa, o teorema de Nachbin (referente a Leopoldo Nachbin) é usado para estabelecer um limite no crescimento de uma função analítica. Este artigo fornecerá uma breve revisão das taxas de crescimento, incluindo a ideia de uma função de tipo exponencial. A classificação das taxas de crescimento baseadas na ajuda do tipo fornece uma ferramenta mais fina do que a notação grande de O ou de Landau, desde que um número de teoremas sobre a estrutura analítica da função delimitada e suas transformações integrais pode ser indicada. Em particular, o teorema de Nachbin pode ser usado para dar o domínio da convergência da transformada Borel generalizada, dada abaixo (pt)
prov:wasDerivedFrom	wikipedia-en:Nachbin's_theorem?oldid=1069893251&ns=0
page length (characters) of wiki page	6544 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Nachbin's_theorem
is Link from a Wikipage to another Wikipage of	Mellin inversion theorem Residue theorem Integral transform Leopoldo Nachbin Cauchy's integral formula Line integral List of Brazilian mathematicians List of exponential topics Borel transform Laplace transform Big O notation Mittag-Leffler summation Recife Exponential type List of theorems Psi-type Function of exponential type Generalized Borel transform Nachbin resummation Nachbin theorem
is Wikipage redirect of	Psi-type Function of exponential type Generalized Borel transform Nachbin resummation

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software