The formal derivative operator and multifactorial numbers

Juan Triana; Rodrigo De Castro

doi:10.15446/recolma.v53n2.85522

Pubblicato

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

Parole chiave:

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

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Autori

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.

Riferimenti bibliografici

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Come citare

APA

Triana, J. e 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. e De Castro, R. 2019. The formal derivative operator and multifactorial numbers. Revista Colombiana de Matemáticas. 53, 2 (lug. 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 gen. 2025.

Chicago

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

IEEE

[1]

J. Triana e R. De Castro, «The formal derivative operator and multifactorial numbers», rev.colomb.mat, vol. 53, n. 2, pagg. 125–137, lug. 2019.

MLA

Triana, J., e R. De Castro. «The formal derivative operator and multifactorial numbers». Revista Colombiana de Matemáticas, vol. 53, n. 2, luglio 2019, pagg. 125-37, doi:10.15446/recolma.v53n2.85522.

Turabian

Triana, Juan, e Rodrigo De Castro. «The formal derivative operator and multifactorial numbers». Revista Colombiana de Matemáticas 53, no. 2 (luglio 1, 2019): 125–137. Consultato gennaio 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]. 1 luglio 2019 [citato 22 gennaio 2025];53(2):125-37. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/85522