Abrarov, S.M.; Siddiqui, R.; Jagpal, R.K.; Quine, B.M. A Generalized Series Expansion of the Arctangent Function Based on the Enhanced Midpoint Integration. AppliedMath2023, 3, 395-405.
Abrarov, S.M.; Siddiqui, R.; Jagpal, R.K.; Quine, B.M. A Generalized Series Expansion of the Arctangent Function Based on the Enhanced Midpoint Integration. AppliedMath 2023, 3, 395-405.
Abrarov, S.M.; Siddiqui, R.; Jagpal, R.K.; Quine, B.M. A Generalized Series Expansion of the Arctangent Function Based on the Enhanced Midpoint Integration. AppliedMath2023, 3, 395-405.
Abrarov, S.M.; Siddiqui, R.; Jagpal, R.K.; Quine, B.M. A Generalized Series Expansion of the Arctangent Function Based on the Enhanced Midpoint Integration. AppliedMath 2023, 3, 395-405.
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.
Keywords
arctangent function; midpoint integration; iterative algorithm; constant pi
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
