analytic-functions

What problem does it solve?

This Skill provides strategies and tools for solving problems related to analytic functions in complex analysis, including verifying analyticity and performing analytic continuation.

Core Features & Use Cases

• Cauchy-Riemann Equations: Verify if a function is analytic by checking the Cauchy-Riemann conditions.
• Power Series Expansion: Compute and analyze the power series representation of analytic functions.
• Analytic Continuation: Understand and apply techniques for extending analytic functions.
• Use Case: When faced with a complex function, use this skill to determine if it's analytic at a specific point or within a region, and to explore its behavior through power series.

Quick Start

Use the analytic-functions skill to check if f(z) = u(x,y) + iv(x,y) satisfies the Cauchy-Riemann equations.