Open AccessThe formal derivative operator and multifactorial numbers
Author(s) -
Juan Gabriel Triana,
Rodrigo de Aquino Castro
Publication year - 2019
Publication title -
revista colombiana de matemáticas/revista colombiana de matematicas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.176
H-Index - 7
eISSN - 2357-4100
pISSN - 0034-7426
DOI - 10.15446/recolma.v53n2.85522
Subject(s) - counterexample , operator (biology) , rule based machine translation , context (archaeology) , connection (principal bundle) , grammar , derivative (finance) , mathematics , context free grammar , computer science , discrete mathematics , algebra over a field , combinatorics , linguistics , pure mathematics , artificial intelligence , philosophy , biology , genetics , repressor , transcription factor , gene , paleontology , geometry , financial economics , economics
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.