An integral's journey over the real line
Robert Reynolds, Allan Stauffer

TL;DR
This paper revisits Cauchy's 1826 integral over the real line, providing a new derivation and an analytic continuation to extend its applicability.
Contribution
It introduces a novel derivation and analytic continuation of Cauchy's integral over the real line, enhancing understanding of its properties.
Findings
New derivation of Cauchy's integral
Analytic continuation of the integral
Extended applicability of the integral
Abstract
In 1826 Cauchy presented an Integral over the real line. Al and I thought a derivation would be mighty fine. So we packed our contour integral bags that day, and we now present an analytic continuation this time.
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Taxonomy
TopicsAlgebraic and Geometric Analysis
