Laurent series

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Related lectures (30)

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Power Series and Taylor Series

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

Mechanical Joints: Snap Fits and Adhesive Bonding

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

Complex Analysis: Laurent Series and Residue Theorem

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

Residues Theorem Applications

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

Analysis and Synthesis of Deterministic Signals

Explores the representation of signals as vectors, projection theorem, orthogonal functions, and examples.

Frobenius Method: General Case of Regular Singular Point

Explores the Frobenius method for regular singular points in ODEs, emphasizing the nature of roots and deriving solutions.

Frobenius Method: Introduction

Introduces the Frobenius method for solving second-order linear ODEs around ordinary points.

Analytical Real Functions

Explores analytical real functions, focusing on series expansion and properties of u(x) in different neighborhoods.

Complex Analysis: Laurent Series and Residue Theorem

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

P-adic Expansion: Unique Representations and Power Series

Explores p-adic expansion, unique representations, and power series for computing p-adic expansions.