Computation and Numerical Method for Summations of Binomial and Geometric Series
Chinnaraji Annamalai
Abstract
Geometric series plays a vital role in the areas of combinatorics, science, economics, and medicine. This paper presents numerical and computational method for computing the summation of multiple series of binomial coefficients and the multiple summations of geometric series in an innovative way and also the relation between the binomial expansions and geometric series. These are the methodological advances which are useful for researchers who are working in science, economics, engineering, computation, and management.
Topics & Concepts
Series (stratigraphy)ComputationGeometric seriesBinomial (polynomial)Binomial coefficientRelation (database)Binomial theoremMathematicsApplied mathematicsComputer scienceAlgebra over a fieldAlgorithmDiscrete mathematicsStatisticsPure mathematicsMathematical analysisData miningPower seriesBiologyPaleontologyAdvanced Mathematical IdentitiesMathematical functions and polynomialsAnalytic Number Theory Research