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Improper integrals: convergence and Cauchy principal value. Integrals of trigonometric functions. Integrals of rational functions. Integrals of rational functions multiplied by a trigonometric function. Jordan’s lemma. Rectangular integration paths. Indented paths around a simple pole. Indented paths around a branch point. Paths along a branch line. Other paths. Bromwich integrals: inverse Laplace transform.

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Applications of Residues

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  • 发表日期：

    2026年

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  • Carlo Presilla

摘要

Improper integrals: convergence and Cauchy principal value. Integrals of trigonometric functions. Integrals of rational functions. Integrals of rational functions multiplied by a trigonometric function. Jordan’s lemma. Rectangular integration paths. Indented paths around a simple pole. Indented paths around a branch point. Paths along a branch line. Other paths. Bromwich integrals: inverse Laplace transform.