equation 8.16 eq:cpx-simple-pole

open in the book · parts/02-mathematical-methods/06-complex-analysis.tex:586

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equation 8.16: eq:cpx-simple-pole8.16corollary 17.76: Heaviside's expansion theorem17.76example 8.25: A real integral by residues8.25theorem 17.78: Causality implies dispersion relations17.78corollary 17.71: Residue evaluation and causality17.71proof : ch:15-fourier-integral-transforms@proof-47prooflemma 8.9: ML estimate8.9theorem 8.24: Residue theorem8.24definition 17.29: Fourier transform; the treatise convention17.29proposition 17.67: Holomorphy17.67proposition 17.42: Sokhotski–Plemelj17.42theorem 8.12: Cauchy8.12remark 33.10: Fibre anelasticity, and why it biases one method and not the other33.10remark 28.26: Causality is visible in the susceptibility28.26remark 28.62: Neither velocity is a speed limit28.62proof : ch:15-fourier-integral-transforms@proof-49proof

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depends_on Heaviside's expansion theorem declared parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2716
depends_on A real integral by residues declared parts/02-mathematical-methods/06-complex-analysis.tex:647
depends_on Causality implies dispersion relations declared parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2772