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Special functions library

Skill a5c-ai/babysitter/library/specializations/domains/science/mathematics/skills/special-functions-library

Comprehensive special functions evaluation and manipulationFrom its SKILL.md

Install
npx -y skills add a5c-ai/babysitter --skill special-functions-library

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SKILL.md

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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

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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