Numerical Computational Method for Computation of Binomial Expansions 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 computational techniques for computing the summation of multiple series of binomial coefficients and the summation of geometric series in an innovative way and also the relation between the binomial expansions and geometric series. These techniques refer to the methodological advances which are useful for researchers who are working in science, economics, engineering, computation, and management.
Topics & Concepts
Series (stratigraphy)ComputationGeometric seriesBinomial coefficientBinomial (polynomial)Relation (database)Binomial theoremMathematicsApplied mathematicsComputer scienceAlgebra over a fieldCalculus (dental)AlgorithmDiscrete mathematicsMathematical analysisStatisticsPure mathematicsPower seriesData miningDentistryPaleontologyMedicineBiologyPolynomial and algebraic computationNumerical Methods and AlgorithmsAdvanced Mathematical Identities