TY - JOUR
AU - Annamalai, Chinnaraji
PY - 2022/09/22
Y2 - 2024/09/19
TI - Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions
JF - The Journal of Engineering and Exact Sciences
JA - J. Eng. Exact Sci.
VL - 8
IS - 7
SE -
DO - 10.18540/jcecvl8iss7pp14648-01i
UR - https://periodicos.ufv.br/jcec/article/view/14648
SP - 14648-01i
AB - <p>Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical and computational equations for solving today’s scientific problems and challenges. This paper presents combinatorial geometric series, innovative binomial coefficients, combinatorial equations, binomial expansions, calculus with combinatorial geometric series, and innovative binomial theorems. Combinatorics involves integers, factorials, binomial coefficients, discrete mathematics, and theoretical computer science for finding solutions to the problems in computing and engineering science. The combinatorial geometric series with binomial expansions and its theorems refer to the methodological advances which are useful for researchers who are working in computational science. Computational science is a rapidly growing multi-and inter-disciplinary area where science, engineering, computation, mathematics, and collaboration use advance computing capabilities to understand and solve the most complex real-life problems.</p>
ER -