A reformulated series expansion of the arctangent function

2017/01/15 by Sanjar M. Abrarov, Abrarov, S. M., Brendan M. Quine +1
Mathematics · #Advanced Mathematical Identities #FOS: Mathematics #General Mathematics (math.GM) #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1701.05098

openalex publication_date 2017/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In our recent publication we obtained a series expansion of the arctangent function involving complex numbers. In this work we show that this formula can also be expressed as a real rational function.

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