Differential equations associated to algebraic functions and their solutions

Carlos Pabst; Raúl Naulin

Published

1996-01-01

Differential equations associated to algebraic functions and their solutions

Keywords:

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

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Authors

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

Abstract (es)

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.

How to Cite

APA

Pabst, C. and 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. and Naulin, R. 1996. Differential equations associated to algebraic functions and their solutions. Revista Colombiana de Matemáticas. 30, 1 (Jan. 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: 2 feb. 2025.

Chicago

Pabst, Carlos, and 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. and Naulin, R. (1996) “Differential equations associated to algebraic functions and their solutions”, Revista Colombiana de Matemáticas, 30(1), pp. 25–47. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33643 (Accessed: 2 February 2025).

IEEE

[1]

C. Pabst and R. Naulin, “Differential equations associated to algebraic functions and their solutions”, rev.colomb.mat, vol. 30, no. 1, pp. 25–47, Jan. 1996.

MLA

Pabst, C., and R. Naulin. “Differential equations associated to algebraic functions and their solutions”. Revista Colombiana de Matemáticas, vol. 30, no. 1, Jan. 1996, pp. 25-47, https://revistas.unal.edu.co/index.php/recolma/article/view/33643.

Turabian

Pabst, Carlos, and Raúl Naulin. “Differential equations associated to algebraic functions and their solutions”. Revista Colombiana de Matemáticas 30, no. 1 (January 1, 1996): 25–47. Accessed February 2, 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]. 1996 Jan. 1 [cited 2025 Feb. 2];30(1):25-47. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33643