Algorithmic and Numerical Techniques for Computation 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 algorithmic and numerical techniques 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 fieldCalculus (dental)AlgorithmDiscrete mathematicsPure mathematicsStatisticsMathematical analysisData miningPower seriesDentistryPaleontologyBiologyMedicinePolynomial and algebraic computationAdvanced Mathematical IdentitiesAdvanced Mathematical Theories