Differential equations associated to algebraic functions and their solutions

Carlos Pabst; Raúl Naulin

Pubblicato

1996-01-01

Differential equations associated to algebraic functions and their solutions

Parole chiave:

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

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PDF (Español)

Autori

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.

Come citare

APA

Pabst, C. e 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. e Naulin, R. 1996. Differential equations associated to algebraic functions and their solutions. Revista Colombiana de Matemáticas. 30, 1 (gen. 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, e 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. e Naulin, R. (1996) «Differential equations associated to algebraic functions and their solutions», Revista Colombiana de Matemáticas, 30(1), pagg. 25–47. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33643 (Consultato: 2 febbraio 2025).

IEEE

[1]

C. Pabst e R. Naulin, «Differential equations associated to algebraic functions and their solutions», rev.colomb.mat, vol. 30, n. 1, pagg. 25–47, gen. 1996.

MLA

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

Turabian

Pabst, Carlos, e Raúl Naulin. «Differential equations associated to algebraic functions and their solutions». Revista Colombiana de Matemáticas 30, no. 1 (gennaio 1, 1996): 25–47. Consultato febbraio 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]. 1 gennaio 1996 [citato 2 febbraio 2025];30(1):25-47. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33643