Inversion when Poles and Branch Points Exist

1 Inversion When Poles and Branch Points Exist 

When pole singularities exist, along with branch points, the Cauchy theorem is modified to account for the (possibly infinite) finite poles that exist within the Bromwich Contour hence, E res (F(j)e ) must be added to the line integrals 

If no branch points exist, this reduces to the formula given in Eq. 9.99. Often, elementary building blocks can be used to invert awkward transforms. For example, we have seen that 1/ = / -firi and moreover, since /s 

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