Lemma on the Binomial Coefficients of Combinatorial Geometric Series
Chinnaraji Annamalai, Antônio Marcos de Oliveira Siqueira
Abstract
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.
Topics & Concepts
Binomial coefficientSeries (stratigraphy)Geometric seriesLemma (botany)MathematicsBinomial (polynomial)Gaussian binomial coefficientTerm (time)Negative binomial distributionApplied mathematicsStatisticsCombinatoricsPower seriesMathematical analysisQuantum mechanicsPhysicsPoisson distributionPoaceaePaleontologyBiologyEcologyAdvanced Mathematical Theories