A Generalized Series Expansion of the Arctangent Function Based on the Enhanced Midpoint Integration

2023 · doi:10.20944/preprints202302.0082.v1
preprint OA: closed CC-BY-4.0
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Abstract

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.

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License: CC-BY-4.0