Laurent series

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Related lectures (30)

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Power Series Computations

Covers power series, generating functions, and operations like addition, multiplication, differentiation, and integration, with examples and the generalized binomial theorem.

Complex Analysis: Taylor Series

Explores Taylor series in complex analysis, emphasizing the behavior around singular points.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Solving the Quintic: Dominant Balance

Explores dominant balance analysis in solving the quintic polynomial, with a focus on non-dimensionalization and series expansions.

Convergence and Poles: Analyzing Complex Functions

Covers the analysis of complex functions, focusing on convergence and poles.

Inverse Laplace Transform

Covers the Inverse Laplace Transform and its applications in finding projections from the Laplace domain to the time domain.

Laurent Series: Singularities and Convergence

Explores Laurent series, singularities, convergence, residues, and analytic functions with practical examples and calculations.

Residue Theorem: Cauchy's Integral Formula and Applications

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Properties of Functions

Covers the properties of functions, including symmetry, continuity, and limits.

Euler's Formula Demonstration

Covers the demonstration of Euler's formula and its applications.