Lemma on the Binomial Coefficients of Combinatorial Geometric Series

This paper presents lemmas and its corollaries on the combinatorial geometric series and summation of series of binomial coefficients. Also, the coefficient for each term in combinatorial geometric series refers to a binomial coefficient. These ideas can enable the scientific researchers to solve t...

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Main Authors: Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira
Format: Article
Language:English
Published: Universidade Federal de Viçosa (UFV) 2022-10-01
Series:The Journal of Engineering and Exact Sciences
Subjects:
Online Access:https://periodicos.ufv.br/jcec/article/view/14760
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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 presents lemmas and its corollaries on the combinatorial geometric series and summation of series of binomial coefficients. Also, the coefficient for each term in combinatorial geometric series refers to a binomial coefficient. These ideas can enable the scientific researchers to solve the real life problems.
format Article
id doaj-art-1a0ad599f4a74c4eb5c6ece7ec853be0
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-1a0ad599f4a74c4eb5c6ece7ec853be02025-02-02T19:56:02ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-10-018910.18540/jcecvl8iss9pp14760-01iLemma on the Binomial Coefficients of Combinatorial Geometric Series Chinnaraji Annamalai0Antonio Marcos de Oliveira Siqueira1Indian Institute of Technology Kharagpur, IndiaFederal University of Viçosa, Brazil This paper presents lemmas and its corollaries on the combinatorial geometric series and summation of series of binomial coefficients. Also, the coefficient for each term in combinatorial geometric series refers to a binomial coefficient. These ideas can enable the scientific researchers to solve the real life problems. https://periodicos.ufv.br/jcec/article/view/14760computation, combinatorics, binomial coefficient
spellingShingle Chinnaraji Annamalai
Antonio Marcos de Oliveira Siqueira
Lemma on the Binomial Coefficients of Combinatorial Geometric Series
The Journal of Engineering and Exact Sciences
computation, combinatorics, binomial coefficient
title Lemma on the Binomial Coefficients of Combinatorial Geometric Series
title_full Lemma on the Binomial Coefficients of Combinatorial Geometric Series
title_fullStr Lemma on the Binomial Coefficients of Combinatorial Geometric Series
title_full_unstemmed Lemma on the Binomial Coefficients of Combinatorial Geometric Series
title_short Lemma on the Binomial Coefficients of Combinatorial Geometric Series
title_sort lemma on the binomial coefficients of combinatorial geometric series
topic computation, combinatorics, binomial coefficient
url https://periodicos.ufv.br/jcec/article/view/14760
work_keys_str_mv AT chinnarajiannamalai lemmaonthebinomialcoefficientsofcombinatorialgeometricseries
AT antoniomarcosdeoliveirasiqueira lemmaonthebinomialcoefficientsofcombinatorialgeometricseries