Publicado

1996-01-01

Differential equations associated to algebraic functions and their solutions

Palabras clave:

Tschirnhaus transformation, discriminant of a polynomial, entire function, branch and algebraic branch point, generalized hypergeometric functions (es)

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Autores/as

  • Carlos Pabst Universidad de Valparaíso
  • Raúl Naulin Universidad de Oriente, Cumana

 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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Cómo citar

Pabst, C., & Naulin, R. (1996). Differential equations associated to algebraic functions and their solutions. Revista Colombiana De Matemáticas, 30(1), 25-47. https://revistas.unal.edu.co/index.php/recolma/article/view/33643