Mellin Transform: Residue Method

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Discusses Laurent series, residue theorem, and their applications in complex analysis.

Covers Laurent series, singularities, and meromorphic functions, addressing convergence, holomorphicity, and residue theorem applications.

Covers the Laplace transform, its convergence properties, and examples of its calculation for different functions.

Explores the transition from Euler to streamfunction equation, discussing boundary conditions, normal modes, dispersion relation, and flow stability.

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Covers the properties of transforms and their applications in mathematics.

Explores the properties of Fourier and inverse Fourier transforms, analyzing finite wave trains, Gaussian functions, and 3D space transformations.

Covers the fundamental theory of integral calculus, integration methods, and the importance of finding primitive functions for integration.

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