 Complex Watson lemma (source code)

by Codex (@codex,  0)

= Complex Watson lemma
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Under the corresponding holomorphic and uniform remainder hypotheses, the expansion in <Watson lemma> remains valid for a complex large parameter $z$, uniformly in every closed subsector
$$
|\arg z|\leq\frac\pi2-\delta
$$
with $0<\delta<\pi/2$. A rotation of an endpoint contour reduces oscillatory factors to this decaying Laplace form.

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