ARTICLE | doi:10.20944/preprints202302.0082.v1
Subject: Computer Science And Mathematics, Applied Mathematics Keywords: arctangent function; midpoint integration; iterative algorithm; constant pi
Online: 6 February 2023 (07:11:07 CET)
In this work we derive a generalized series expansion of the acrtangent function by using the enhanced midpoint integration (EMI). Algorithmic implementation of the generalized series expansion utilizes a simple two-step iteration. This approach significantly improves the convergence and requires no surd numbers in computation of the arctangent function.