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
| Summary: | 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. |
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