Mellin Transform: Residue Method

Related lectures (28)

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Covers the calculation of Fourier transforms using the residue method and applications in various scenarios.

Covers the proof of the explicit formula for the non-vanishing of the zeta function at the 1-line.

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

Covers the residual theorem from Cauchy, focusing on simple closed curves and holomorphic functions.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Covers the Laplace transform, its properties, and the concept of analytic continuation.

Covers the inverse Laplace transform with examples and methods for solving complex roots.

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Discusses Laurent series and the residue theorem in complex analysis, providing examples and applications for evaluating complex integrals.