The formal derivative operator and multifactorial numbers

• Triana, Juan ^[2] ; De Castro, Rodrigo ^[1]
  1. [1] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
  2. [2] Universidad ECCI
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 53, Nº. 2, 2019, págs. 125-137
• Idioma: inglés
• DOI: 10.15446/recolma.v53n2.85522
• Títulos paralelos:
  • El operador derivada formal y números multifactoriales
• Enlaces
  • Texto completo
• Resumen
  • español

    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 → abr; b → br+1 } y números multifactoriales. Se obtienen algunas identidades sobre números multifactoriales mediante métodos gramaticales.

  • English

    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 → abr; b → br+1 } and multifactorial numbers. Some identities involving multifactorial numbers will be obtained by grammatical methods.

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