special-functions-library

Comprehensive special functions evaluation and manipulation

509 stars

Best use case

special-functions-library is best used when you need a repeatable AI agent workflow instead of a one-off prompt.

Comprehensive special functions evaluation and manipulation

Teams using special-functions-library should expect a more consistent output, faster repeated execution, less prompt rewriting.

When to use this skill

You want a reusable workflow that can be run more than once with consistent structure.

When not to use this skill

You only need a quick one-off answer and do not need a reusable workflow.
You cannot install or maintain the underlying files, dependencies, or repository context.

Installation

Claude Code / Cursor / Codex

$curl -o ~/.claude/skills/special-functions-library/SKILL.md --create-dirs "https://raw.githubusercontent.com/a5c-ai/babysitter/main/library/specializations/domains/science/mathematics/skills/special-functions-library/SKILL.md"

Manual Installation

Download SKILL.md from GitHub
Place it in .claude/skills/special-functions-library/SKILL.md inside your project
Restart your AI agent — it will auto-discover the skill

How special-functions-library Compares

Feature / Agent	special-functions-library	Standard Approach
Platform Support	Not specified	Limited / Varies
Context Awareness	High	Baseline
Installation Complexity	Unknown	N/A

Frequently Asked Questions

What does this skill do?

Comprehensive special functions evaluation and manipulation

Where can I find the source code?

You can find the source code on GitHub using the link provided at the top of the page.

SKILL.md Source

# Special Functions Library

## Purpose

Provides comprehensive capabilities for special functions evaluation, manipulation, and analysis.

## Capabilities

- Bessel, hypergeometric, elliptic functions
- Orthogonal polynomials (Legendre, Chebyshev, Hermite)
- Gamma, beta, zeta functions
- Asymptotic expansions
- Connection formulas and identities

## Usage Guidelines

1. **Function Selection**: Choose appropriate function definitions
2. **Numerical Evaluation**: Use high-precision arithmetic when needed
3. **Identities**: Apply transformation and connection formulas
4. **Asymptotics**: Use asymptotic expansions for large arguments

## Tools/Libraries

- DLMF (Digital Library of Mathematical Functions)
- mpmath
- scipy.special

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