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.

Cómo citar

APA

Pabst, C. y 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

ACM

[1]
Pabst, C. y Naulin, R. 1996. Differential equations associated to algebraic functions and their solutions. Revista Colombiana de Matemáticas. 30, 1 (ene. 1996), 25–47.

ACS

(1)
Pabst, C.; Naulin, R. Differential equations associated to algebraic functions and their solutions. rev.colomb.mat 1996, 30, 25-47.

ABNT

PABST, C.; NAULIN, R. Differential equations associated to algebraic functions and their solutions. Revista Colombiana de Matemáticas, [S. l.], v. 30, n. 1, p. 25–47, 1996. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33643. Acesso em: 22 ene. 2025.

Chicago

Pabst, Carlos, y Raúl Naulin. 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.

Harvard

Pabst, C. y Naulin, R. (1996) «Differential equations associated to algebraic functions and their solutions», Revista Colombiana de Matemáticas, 30(1), pp. 25–47. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33643 (Accedido: 22 enero 2025).

IEEE

[1]
C. Pabst y R. Naulin, «Differential equations associated to algebraic functions and their solutions», rev.colomb.mat, vol. 30, n.º 1, pp. 25–47, ene. 1996.

MLA

Pabst, C., y R. Naulin. «Differential equations associated to algebraic functions and their solutions». Revista Colombiana de Matemáticas, vol. 30, n.º 1, enero de 1996, pp. 25-47, https://revistas.unal.edu.co/index.php/recolma/article/view/33643.

Turabian

Pabst, Carlos, y Raúl Naulin. «Differential equations associated to algebraic functions and their solutions». Revista Colombiana de Matemáticas 30, no. 1 (enero 1, 1996): 25–47. Accedido enero 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33643.

Vancouver

1.
Pabst C, Naulin R. Differential equations associated to algebraic functions and their solutions. rev.colomb.mat [Internet]. 1 de enero de 1996 [citado 22 de enero de 2025];30(1):25-47. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33643

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