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do-elliptic-calculus

Perform symbolic calculus with elliptic functions and q-series expansions in Wolfram Language.

1|1|Updated Apr 3, 2026
Search Tags:#elliptic-functions#modular-forms#theta-functions#eisenstein-series#q-series#symbolic-calculus#wolfram-language
One-click install
npx skills add https://github.com/panyw5/skills --skill do-elliptic-calculus
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: do-elliptic-calculus
Source: https://github.com/panyw5/skills/tree/main/do-elliptic-calculus
Command: npx skills add https://github.com/panyw5/skills --skill do-elliptic-calculus

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) components.

What problem does it solve?

Performs symbolic calculus involving elliptic functions and related special functions.

Core Features & Use Cases

  • Symbolic handling of elliptic functions, Eisenstein series, Jacobi theta functions, Weierstrass functions, q-Pochhammer symbols, and modular forms.
  • Tools for converting Eisenstein series to theta representations and back, and for generating related q-series expansions.
  • Practical workflows for research and education, including identity derivations and structured q-series manipulations.

Quick Start

Load the main module and request a theta or Eisenstein q-series expansion.

Frequently Asked Questions about do-elliptic-calculus

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I compute q-series expansions for Jacobi theta functions and Eisenstein series?▼

Convert Eisenstein series to theta representations by loading the main module and applying the transformation tools under the elliptic scripts. It bridges these modular forms by generating equivalent theta function expressions for research and educational derivations.

What is the best way to derive identities involving Weierstrass functions and q-Pochhammer symbols?▼

Derive identities involving Weierstrass functions and q-Pochhammer symbols using symbolic calculus workflows designed for mathematical research. The tool computes derivative relations and performs structured q-series manipulations to verify or generate these special function identities.

Do I need Wolfram Language tooling to perform symbolic elliptic calculus with modular forms?▼

Yes, Wolfram Language tooling is required to perform symbolic elliptic calculus with modular forms. The computation relies on Wolfram Language modules under the elliptic scripts to process transformations and derivative relations for special functions.

Can I calculate derivative relations for Weierstrass elliptic functions using symbolic computation?▼

Yes, you can calculate derivative relations for Weierstrass elliptic functions using the symbolic computation scripts. The tool applies specialized modules to compute derivative relations and structured q-series manipulations for advanced mathematical research.

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