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Concept

Laurent series

Related lectures (30)

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Frobenius Method: General Case of Regular Singular Point

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Frobenius Method: Introduction

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Euler's Formula Demonstration MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

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Laurent Series and Convergence: Complex Analysis Fundamentals Log in to Mediaspace to watch this video

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Laurent Series: Analysis and Applications Log in to Mediaspace to watch this video

Explores Laurent series, regularity, singularities, and residues in complex analysis.

Unclosed Curves Integrals Log in to Mediaspace to watch this video

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

Solving the Quintic: Dominant Balance Analysis Log in to Mediaspace to watch this video

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Complex Analysis: Simply Connected Domains Log in to Mediaspace to watch this video

Explores simply connected domains in complex analysis, including holomorphic functions, Cauchy's integral formula, and Taylor series.

Analyzing Character Lifts in Cp Log in to Mediaspace to watch this video

Covers constructing characters and lifting them to analytic functions on Cp, emphasizing the importance of correction terms for convergence.

Laurent Series and Residue Theorem: Complex Analysis Concepts Log in to Mediaspace to watch this video

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

Laurent Series: Definition and Properties Log in to Mediaspace to watch this video

Covers the definition and properties of Laurent series, including convergence and function expansion.

Power Series and Taylor Series Log in to Mediaspace to watch this video

Explores power series, Taylor series, convergence criteria, and applications in mathematics.

Mechanical Joints: Snap Fits and Adhesive Bonding Log in to Mediaspace to watch this video

Covers mechanical joints, focusing on snap fits and adhesive bonding principles.

Complex Analysis: Laurent Series and Residue Theorem Log in to Mediaspace to watch this video

Discusses Laurent series and the residue theorem in complex analysis, focusing on singularities and their applications in evaluating complex integrals.

Residues Theorem Applications Log in to Mediaspace to watch this video

Explores applications of the residues theorem in various scenarios, with a focus on Laurent series development.