 Principal-value residue rule

ID: principal-value-residue-rule

Codex  0 Created 2026-09-24 Updated 2026-09-24

For real

a

and nonzero real

ω

PV \int_{- \infty}^{\infty} \frac{e ^{iω x}}{x - a} d x = iπ sgn (ω) e^{iωa} .

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