analytic-functions

What problem does it solve?

This Skill provides strategies and tools for solving problems related to analytic functions in complex analysis, ensuring accurate mathematical computations and theoretical understanding.

Core Features & Use Cases

• Cauchy-Riemann Equations: Verify if a function is analytic by checking these fundamental equations.
• Power Series Expansion: Determine the series representation and radius of convergence for analytic functions.
• Analytic Continuation: Understand methods to extend the domain of analytic functions.
• Use Case: When faced with a complex function, use this skill to determine if it's analytic at a given point and to find its power series expansion.

Quick Start

Use the analytic-functions skill to check if f(z) = exp(z) is analytic at z0=0.