An integral's journey over the real line

2021/02/28 by Reynolds, Robert, Stauffer, Allan
#01A55 #11M06 #11M35 #30-02 #30D10 #30D30 #30E20 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2103.03355

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.

Related

• Cauchy's residue sore thumb
• A historical review of the Cauchy-Riemann equations and the Cauchy Theorem
• Some remarks about Cauchy integrals and totally real surfaces in C^m
• Some remarks about Cauchy integrals
• An extended Cauchy integral