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Babysitter special-functions-library

Comprehensive special functions evaluation and manipulation

install
source · Clone the upstream repo
git clone https://github.com/a5c-ai/babysitter
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/a5c-ai/babysitter "$T" && mkdir -p ~/.claude/skills && cp -r "$T/library/specializations/domains/science/mathematics/skills/special-functions-library" ~/.claude/skills/a5c-ai-babysitter-special-functions-library && rm -rf "$T"
manifest: library/specializations/domains/science/mathematics/skills/special-functions-library/SKILL.md
tags
#math-functions#symbolic-computation#special-functions#numerical-analysis#mathematics
source content

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