Sum of the Summations of Binomial Expansions with Geometric Series
Chinnaraji Annamalai
Abstract
This paper presents a theorem on binomial coefficients. This theorem states that sum of the summations of binomial expansions is equal to the sum of a geometric series with the exponents of two.
Topics & Concepts
Binomial theoremBinomial coefficientSeries (stratigraphy)Binomial (polynomial)MathematicsGeometric seriesCentral binomial coefficientBinomial approximationNegative binomial distributionGaussian binomial coefficientBinomial distributionApplied mathematicsCombinatoricsStatisticsMathematical analysisPower seriesPoisson distributionBiologyPaleontologyMathematics and ApplicationsFunctional Equations Stability Results