Definition talk:Inverse Laplace Transform/Definition 2

Exactly what *is* that "PV"? It does not appear in the source work from which this definition comes.

Clearly you got this from a source work, which no doubt explains what it is -- but because the original definition for this can be found *without* the PV, I recommend that either a separate definition is set up or that an explanation be put in place explaining why the defn without the PV is wrong, or limited in application, or something. --prime mover (talk) 03:55, 24 November 2016 (EST)

Cauchy Principal Value. It's implied, I'm making it explicit, I'll hopefully find something to corroborate. It means exactly $\lim_{T \mathop \to \infty} \int_{c \mathop - i \, T}^{c \mathop + i \, T}$.

What does $\int_{c - i\infty}^{c+i\infty}$ mean? It looks like an Improper Integral, equal to $\int_{c \mathop - i\infty}^{c+i\alpha} + \int_{c+i\alpha}^{c \mathop + i\infty}$ for some $c+i\alpha$ along the contour. But neither of those summands exist. --GFauxPas (talk) 08:37, 24 November 2016 (EST)