Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series

This paper discusses an abelian group, also called a commutative group, under addition of the binomial coefficients of combinatorial geometric series. The combinatorial geometric series is derived from the multiple summations of geometric series The coefficient for each term in combinatorial geometr...

Descripción completa

Detalles Bibliográficos
Autores: Annamalai, Chinnaraji, Siqueira, Antonio Marcos de Oliveira
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Institución:Universidade Federal de Viçosa (UFV)
Repositorio:The Journal of Engineering and Exact Sciences
Idioma:inglés
OAI Identifier:oai:ojs.periodicos.ufv.br:article/14799
Acceso en línea:https://periodicos.ufv.br/jcec/article/view/14799
Access Level:acceso abierto
Palabra clave:computation, combinatorics, binomial coefficient, abelian group
Descripción
Sumario:This paper discusses an abelian group, also called a commutative group, under addition of the binomial coefficients of combinatorial geometric series. The combinatorial geometric series is derived from the multiple summations of geometric series The coefficient for each term in combinatorial geometric series refers to a binomial coefficient. This idea can enable the scientific researchers to solve the real life problems.