Sums of arctangents and sums of products of arctangents
Kunle Adegoke
TL;DR
This paper introduces new infinite sums involving arctangent functions and their products, unifying many known results as special cases within a general framework.
Contribution
It provides novel formulas for sums of arctangents and their products, expanding the mathematical understanding of these series.
Findings
Derived new infinite arctangent sums
Unified existing arctangent sum evaluations
Generalized known results as special cases
Abstract
We present new infinite arctangent sums and infinite sums of products of arctangents. Many previously known evaluations appear as special cases of the general results derived in this paper.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Mathematical Theories