Special Functions Library

SkillDev tools

Comprehensive special functions evaluation and manipulation

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Account requirements not reviewed. Check the skill instructions before use; ahel provides instructions and does not run this skill.

Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Then ask your AI: use the Special Functions Library skill

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/domains/science/mathematics/skills/special-functions-library/SKILL.md and read by ahel’s review.

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

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

Tools/Libraries

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

Signals

GitHub stars: 2k
Forks: 112
Last commit: Sep 2026

Advanced

Item type: skill
Key: special-functions-library
Source: github.com/a5c-ai/babysitter

github.com/a5c-ai/babysitter