Statement
Consider a complex-valued, continuous function f, defined on a semicircular contour
of radius R > 0 lying in the upper half-plane, centred at the origin. If the function f is of the form
with a parameter a > 0, then Jordan's lemma states the following upper bound for the contour integral:
An analogous statement for a semicircular contour in the lower half-plane holds when a < 0.
Read more about this topic: Jordan's Lemma
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