What is the definition of this symbol $$ \int_{\sigma-i\infty}^{\sigma+i\infty} f(s) \, ds, \quad \sigma>0.$$ Thank you in advance
2026-04-12 16:00:28.1776009628
What is the definition of this symbol $ \int_{\sigma-i\infty}^{\sigma+i\infty} f(s) \, ds, \quad \sigma>0.$
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Are you trying to integrate to get the Inverse Laplace Transform?
This integral is defined as a path integral over a vertical line on the C plane, usually it's done by finding the contour integral of the line plus part of a infinitely large circle centered at 0.