Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series
Chinnaraji Annamalai, Antônio Marcos de Oliveira Siqueira
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.
Topics & Concepts
Binomial coefficientGeometric seriesSeries (stratigraphy)MathematicsAbelian groupGroup (periodic table)Gaussian binomial coefficientBinomial (polynomial)Negative binomial distributionTerm (time)Geometric progressionCombinatoricsDiscrete mathematicsPure mathematicsStatisticsPower seriesMathematical analysisPhysicsQuantum mechanicsPaleontologyPoisson distributionBiologyData Management and AlgorithmsAdvanced Mathematical IdentitiesAdvanced Mathematical Theories