The formal derivative operator and multifactorial numbers

Juan Triana; Rodrigo De Castro

doi:10.15446/recolma.v53n2.85522

Published

2019-07-01

The formal derivative operator and multifactorial numbers

El operador derivada formal y números multifactoriales

DOI:

https://doi.org/10.15446/recolma.v53n2.85522

Keywords:

Context-free grammars, formal derivative operator, multifactorial numbers (en)
Gramáticas independiente del contexto, operador derivada formal, números multifactoriales (es)

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Authors

Juan Triana Universidad ECCI
Rodrigo De Castro Universidad Nacional de Colombia

Abstract (en)
Abstract (es)

In this paper some properties, examples and counterexamples about the formal derivative operator defined with respect to context-free grammars are presented. In addition, we show a connection between the context-free grammar G = { a → ab^r; b → b^r+1 } and multifactorial numbers. Some identities involving multifactorial numbers will be obtained by grammatical methods.

En este artículo se presentan algunas propiedades, ejemplos y contraejemplos del operador derivada formal con respecto a gramáticas independientes del contexto. Adicionalmente, se obtiene una relación entre la gramática G = { a → ab^r; b → b^r+1 } y números multifactoriales. Se obtienen algunas identidades sobre números multifactoriales mediante métodos gramaticales.

References

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How to Cite

APA

Triana, J. and De Castro, R. (2019). The formal derivative operator and multifactorial numbers. Revista Colombiana de Matemáticas, 53(2), 125–137. https://doi.org/10.15446/recolma.v53n2.85522

ACM

[1]

Triana, J. and De Castro, R. 2019. The formal derivative operator and multifactorial numbers. Revista Colombiana de Matemáticas. 53, 2 (Jul. 2019), 125–137. DOI:https://doi.org/10.15446/recolma.v53n2.85522.

ACS

(1)

Triana, J.; De Castro, R. The formal derivative operator and multifactorial numbers. rev.colomb.mat 2019, 53, 125-137.

ABNT

TRIANA, J.; DE CASTRO, R. The formal derivative operator and multifactorial numbers. Revista Colombiana de Matemáticas, [S. l.], v. 53, n. 2, p. 125–137, 2019. DOI: 10.15446/recolma.v53n2.85522. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/85522. Acesso em: 22 jan. 2025.

Chicago

Triana, Juan, and Rodrigo De Castro. 2019. “The formal derivative operator and multifactorial numbers”. Revista Colombiana De Matemáticas 53 (2):125-37. https://doi.org/10.15446/recolma.v53n2.85522.

Harvard

Triana, J. and De Castro, R. (2019) “The formal derivative operator and multifactorial numbers”, Revista Colombiana de Matemáticas, 53(2), pp. 125–137. doi: 10.15446/recolma.v53n2.85522.

IEEE

[1]

J. Triana and R. De Castro, “The formal derivative operator and multifactorial numbers”, rev.colomb.mat, vol. 53, no. 2, pp. 125–137, Jul. 2019.

MLA

Triana, J., and R. De Castro. “The formal derivative operator and multifactorial numbers”. Revista Colombiana de Matemáticas, vol. 53, no. 2, July 2019, pp. 125-37, doi:10.15446/recolma.v53n2.85522.

Turabian

Triana, Juan, and Rodrigo De Castro. “The formal derivative operator and multifactorial numbers”. Revista Colombiana de Matemáticas 53, no. 2 (July 1, 2019): 125–137. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/85522.

Vancouver

1.

Triana J, De Castro R. The formal derivative operator and multifactorial numbers. rev.colomb.mat [Internet]. 2019 Jul. 1 [cited 2025 Jan. 22];53(2):125-37. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/85522