About: Carlson symmetric form

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

About: Carlson symmetric form Goto Sponge NotDistinct Permalink

An Entity of Type : yago:WikicatEllipticFunctions, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FCarlson_symmetric_form

In mathematics, the Carlson symmetric forms of elliptic integrals are a small canonical set of elliptic integrals to which all others may be reduced. They are a modern alternative to the Legendre forms. The Legendre forms may be expressed in terms of the Carlson forms and vice versa. The Carlson elliptic integrals are: Since and are special cases of and , all elliptic integrals can ultimately be evaluated in terms of just and . The Carlson elliptic integrals are named after Bille C. Carlson (1924-2013).

Attributes	Values
rdf:type	yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Relation100031921 yago:WikicatEllipticFunctions
rdfs:label	Symmetrische Carlson-Form (de) Carlson symmetric form (en)
rdfs:comment	In der Mathematik sind die symmetrischen Carlson-Formen der elliptischen Integrale eine kleine kanonische Menge von elliptischen Integralen, auf die alle anderen reduziert werden können. Sie sind eine moderne Alternative zu den Legendre-Formen. Die Legendre-Formen können in Carlson-Formen ausgedrückt werden und umgekehrt. Die elliptischen Carlson-Integrale sind: Da und Sonderfälle von und sind, können alle elliptischen Integrale letztlich durch und dargestellt werden. Die elliptischen Carlson-Integrale sind nach Bille C. Carlson benannt. (de) In mathematics, the Carlson symmetric forms of elliptic integrals are a small canonical set of elliptic integrals to which all others may be reduced. They are a modern alternative to the Legendre forms. The Legendre forms may be expressed in terms of the Carlson forms and vice versa. The Carlson elliptic integrals are: Since and are special cases of and , all elliptic integrals can ultimately be evaluated in terms of just and . The Carlson elliptic integrals are named after Bille C. Carlson (1924-2013). (en)
dcterms:subject	Elliptic functions
Wikipage page ID	406919 (xsd:integer)
Wikipage revision ID	1089407448 (xsd:integer)
Link from a Wikipage to another Wikipage	Mathematics Elementary symmetric polynomial Elliptic integral Branch point SLATEC Cauchy principal value Fortran Legendre form Taylor series Elliptic functions Simple pole
Link from a Wikipage to an external page	http://dlmf.nist.gov/19%23PT3 http://dlmf.nist.gov/about/bio/BCCarlson http://www.netlib.org/slatec/src/drc.f http://www.netlib.org/slatec/src/drd.f http://www.netlib.org/slatec/src/drf.f http://www.netlib.org/slatec/src/drj.f https://arxiv.org/abs/math/9310223v1 https://arxiv.org/abs/math/9409227v1 http://apps.nrbook.com/empanel/index.html%23pg=309
sameAs	Carlson symmetric form Carlson symmetric form Carlson symmetric form Carlson symmetric form Carlson symmetric form
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Frac
has abstract	In der Mathematik sind die symmetrischen Carlson-Formen der elliptischen Integrale eine kleine kanonische Menge von elliptischen Integralen, auf die alle anderen reduziert werden können. Sie sind eine moderne Alternative zu den Legendre-Formen. Die Legendre-Formen können in Carlson-Formen ausgedrückt werden und umgekehrt. Die elliptischen Carlson-Integrale sind: Da und Sonderfälle von und sind, können alle elliptischen Integrale letztlich durch und dargestellt werden. Der Begriff symmetrisch bezieht sich auf die Tatsache, dass diese Funktionen im Gegensatz zu den Legendre-Formen durch Vertauschung bestimmter Funktionsargumente unverändert bleiben. Der Wert von ist derselbe für jede Permutation der Argumente, und der Wert von ist derselbe für jede Permutation der ersten drei Argumente. Die elliptischen Carlson-Integrale sind nach Bille C. Carlson benannt. (de) In mathematics, the Carlson symmetric forms of elliptic integrals are a small canonical set of elliptic integrals to which all others may be reduced. They are a modern alternative to the Legendre forms. The Legendre forms may be expressed in terms of the Carlson forms and vice versa. The Carlson elliptic integrals are: Since and are special cases of and , all elliptic integrals can ultimately be evaluated in terms of just and . The term symmetric refers to the fact that in contrast to the Legendre forms, these functions are unchanged by the exchange of certain subsets of their arguments. The value of is the same for any permutation of its arguments, and the value of is the same for any permutation of its first three arguments. The Carlson elliptic integrals are named after Bille C. Carlson (1924-2013). (en)
prov:wasDerivedFrom	wikipedia-en:Carlson_symmetric_form?oldid=1089407448&ns=0
page length (characters) of wiki page	13825 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Carlson_symmetric_form
is Link from a Wikipage to another Wikipage of	Jacobi ellipsoid Jacobi elliptic functions List of mathematical functions Ellipsoid Elliptic integral Dirichlet average Legendre form Carlson form
is Wikipage redirect of	Carlson form
is foaf:primaryTopic of	wikipedia-en:Carlson_symmetric_form

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, 49 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software