Differential equations associated to algebraic functions and their solutions

A method to find the general solution of algebraic equations, including the quintic, is presented. The procedure is essentially based on the analytical properties of the algebraic functions and leads to the solution of certain linear differential equations that these functions must satisfy.

Autores:
Pabst, Carlos
Naulin, Raúl
Tipo de recurso:
Article of journal
Fecha de publicación:
1996
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43646
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43646
http://bdigital.unal.edu.co/33744/
Palabra clave:
Tschirnhaus transformation
discriminant of a polynomial
entire function
branch and algebraic branch point
generalized hypergeometric functions
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43646
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repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Pabst, Carlosb3960963-7c55-4c76-8f61-eb68faa63370300Naulin, Raúl25df13a8-27e4-46d5-b20f-0cea2b9db1743002019-06-28T12:15:12Z2019-06-28T12:15:12Z1996https://repositorio.unal.edu.co/handle/unal/43646http://bdigital.unal.edu.co/33744/A method to find the general solution of algebraic equations, including the quintic, is presented. The procedure is essentially based on the analytical properties of the algebraic functions and leads to the solution of certain linear differential equations that these functions must satisfy.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33643Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 25-47 0034-7426Pabst, Carlos and Naulin, Raúl (1996) Differential equations associated to algebraic functions and their solutions. Revista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 25-47 0034-7426 .Differential equations associated to algebraic functions and their solutionsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTTschirnhaus transformationdiscriminant of a polynomialentire functionbranch and algebraic branch pointgeneralized hypergeometric functionsORIGINAL33643-125134-1-PB.pdfapplication/pdf6828051https://repositorio.unal.edu.co/bitstream/unal/43646/1/33643-125134-1-PB.pdfbe5daab0cfb2a4ec7765cb1565eb8607MD51THUMBNAIL33643-125134-1-PB.pdf.jpg33643-125134-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7200https://repositorio.unal.edu.co/bitstream/unal/43646/2/33643-125134-1-PB.pdf.jpg6cad07934f5309bafc33759473bdcd4fMD52unal/43646oai:repositorio.unal.edu.co:unal/436462023-02-13 23:04:47.242Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Differential equations associated to algebraic functions and their solutions
title Differential equations associated to algebraic functions and their solutions
spellingShingle Differential equations associated to algebraic functions and their solutions
Tschirnhaus transformation
discriminant of a polynomial
entire function
branch and algebraic branch point
generalized hypergeometric functions
title_short Differential equations associated to algebraic functions and their solutions
title_full Differential equations associated to algebraic functions and their solutions
title_fullStr Differential equations associated to algebraic functions and their solutions
title_full_unstemmed Differential equations associated to algebraic functions and their solutions
title_sort Differential equations associated to algebraic functions and their solutions
dc.creator.fl_str_mv Pabst, Carlos
Naulin, Raúl
dc.contributor.author.spa.fl_str_mv Pabst, Carlos
Naulin, Raúl
dc.subject.proposal.spa.fl_str_mv Tschirnhaus transformation
discriminant of a polynomial
entire function
branch and algebraic branch point
generalized hypergeometric functions
topic Tschirnhaus transformation
discriminant of a polynomial
entire function
branch and algebraic branch point
generalized hypergeometric functions
description A method to find the general solution of algebraic equations, including the quintic, is presented. The procedure is essentially based on the analytical properties of the algebraic functions and leads to the solution of certain linear differential equations that these functions must satisfy.
publishDate 1996
dc.date.issued.spa.fl_str_mv 1996
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:15:12Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:15:12Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43646
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33744/
url https://repositorio.unal.edu.co/handle/unal/43646
http://bdigital.unal.edu.co/33744/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33643
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 25-47 0034-7426
dc.relation.references.spa.fl_str_mv Pabst, Carlos and Naulin, Raúl (1996) Differential equations associated to algebraic functions and their solutions. Revista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 25-47 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43646/1/33643-125134-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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