Binomial Coefficients and Identities in Combinatorial Geometric Series
Chinnaraji Annamalai
Abstract
This paper presents binomial theorems on combinatorial identities that are derived from the binomial coefficients in combinatorial geometric series. The coefficient of each term in combinatorial geometric series refers to a binomial coefficient. These ideas can enable the scientific researchers to solve the real life problems.
Topics & Concepts
Binomial coefficientSeries (stratigraphy)Gaussian binomial coefficientGeometric seriesBinomial (polynomial)MathematicsCentral binomial coefficientNegative binomial distributionTerm (time)Binomial theoremBinomial distributionApplied mathematicsStatisticsCombinatoricsMathematical analysisPower seriesPhysicsBiologyQuantum mechanicsPoisson distributionPaleontologyData Management and AlgorithmsAdvanced Mathematical TheoriesMathematics and Applications