The formal derivative operator and multifactorial numbers

Juan Triana; Rodrigo De Castro

doi:10.15446/recolma.v53n2.85522

Veröffentlicht

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

Schlagworte:

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

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Autor/innen

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.

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Zitationsvorschlag

APA

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

IEEE

[1]

J. Triana und R. De Castro, „The formal derivative operator and multifactorial numbers“, rev.colomb.mat, Bd. 53, Nr. 2, S. 125–137, Juli 2019.

MLA

Triana, J., und R. De Castro. „The formal derivative operator and multifactorial numbers“. Revista Colombiana de Matemáticas, Bd. 53, Nr. 2, Juli 2019, S. 125-37, doi:10.15446/recolma.v53n2.85522.

Turabian

Triana, Juan, und Rodrigo De Castro. „The formal derivative operator and multifactorial numbers“. Revista Colombiana de Matemáticas 53, no. 2 (Juli 1, 2019): 125–137. Zugegriffen Januar 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. Juli 2019 [zitiert 22. Januar 2025];53(2):125-37. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/85522