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 geomet...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2022-10-01
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| Series: | The Journal of Engineering and Exact Sciences |
| Subjects: | |
| Online Access: | https://periodicos.ufv.br/jcec/article/view/14799 |
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| author | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira |
| author_facet | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira |
| author_sort | Chinnaraji Annamalai |
| collection | DOAJ |
| description |
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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| format | Article |
| id | doaj-art-0e1a60e4643a458aaaaa31e99d328320 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2022-10-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-0e1a60e4643a458aaaaa31e99d3283202025-02-02T19:56:00ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-10-0181010.18540/jcecvl8iss10pp14799-01iAbelian Group on the Binomial Coefficients in Combinatorial Geometric SeriesChinnaraji Annamalai0Antonio Marcos de Oliveira Siqueira1Indian Institute of Technology Kharagpur, IndiaUniversidade Federal de Viçosa - UFV, Brazil 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. https://periodicos.ufv.br/jcec/article/view/14799computation, combinatorics, binomial coefficient, abelian group |
| spellingShingle | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series The Journal of Engineering and Exact Sciences computation, combinatorics, binomial coefficient, abelian group |
| title | Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series |
| title_full | Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series |
| title_fullStr | Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series |
| title_full_unstemmed | Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series |
| title_short | Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series |
| title_sort | abelian group on the binomial coefficients in combinatorial geometric series |
| topic | computation, combinatorics, binomial coefficient, abelian group |
| url | https://periodicos.ufv.br/jcec/article/view/14799 |
| work_keys_str_mv | AT chinnarajiannamalai abeliangrouponthebinomialcoefficientsincombinatorialgeometricseries AT antoniomarcosdeoliveirasiqueira abeliangrouponthebinomialcoefficientsincombinatorialgeometricseries |