Skew Field on the Binomial Coefficients in Combinatorial Geometric Series
Chinnaraji Annamalai, Antônio Marcos de Oliveira Siqueira
Abstract
This paper discusses a commutative group, ring, and field under addition and multiplication of the binomial coefficients in 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)MathematicsSkewBinomial (polynomial)Gaussian binomial coefficientTerm (time)Negative binomial distributionField (mathematics)Discrete mathematicsComputer sciencePure mathematicsStatisticsPower seriesMathematical analysisPhysicsTelecommunicationsPaleontologyPoisson distributionQuantum mechanicsBiologyData Management and AlgorithmsAdvanced Mathematical Identities