Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series

Chinnaraji Annamalai; Antonio Marcos de Oliveira Siqueira

doi:10.18540/jcecvl8iss10pp14799-01i

Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series

Authors

Chinnaraji Annamalai Indian Institute of Technology Kharagpur, India https://orcid.org/0000-0002-0992-2584
Antonio Marcos de Oliveira Siqueira Universidade Federal de Viçosa - UFV, Brazil https://orcid.org/0000-0001-9334-0394

DOI:

https://doi.org/10.18540/jcecvl8iss10pp14799-01i

Keywords:

computation, combinatorics, binomial coefficient, abelian group

Abstract

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.

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Published

2022-10-24

How to Cite

Annamalai, C., & Siqueira, A. M. de O. (2022). Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series. The Journal of Engineering and Exact Sciences, 8(10), 14799–01i. https://doi.org/10.18540/jcecvl8iss10pp14799-01i