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Analytic functions: Cauchy-Riemann and series v1.0.0
Use this resource to test whether a complex function is analytic and compute its series expansion
New
- 430 downloads
- 203 likes
- 173 saves
Free
Install with the CLI
In a terminal, from the folder you want:
npx --yes palatekit@latest install analytic-function-cauchy-riemannWith no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.
First time: connect the CLI with
npx --yes palatekit@latest loginThe agent checks the Cauchy-Riemann equations on the real and imaginary parts, computes partial derivatives with SymPy, then builds the power series expansion around a point. You get a justified conclusion on analyticity.
Mostly picked by
Updated November 2, 2026
Previews
Details
- Install guides
- Generates with
- Your agent's model
- Licence
- MIT
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What you get
- SKILL.md: decision tree (Cauchy-Riemann, power series, neighbourhood)
- SKILL.md: SymPy commands for derivatives and series, plus Z3 verification
Good fit for
- You need to know whether f(z) = u + iv is holomorphic
- You are looking for the series expansion of a complex function
Not for
Tags
- complex analysis
- Cauchy-Riemann
- series
- holomorphic
About
You say
“Is this function u(x, y) + i v(x, y) analytic at z0 = 0?”
Skill published by parcadei under the MIT license, delivered in its original version.
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How to use it
- Install the skill in your agent's skills folder
- Ask your agent to test whether a complex function is analytic and compute its series expansion
- Review and adjust the result
Content preview
Files
- LICENSE1.1 KB
- NOTICE-PALATEKIT.md0.5 KB
- SKILL.md3.6 KB
Origin and licence
Listed unmodified
- Author
- parcadei
- Source
- github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/complex-analysis/analytic-functions
- Licence
- MIT
Notice
« analytic-functions » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.
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