Agent-Skills.md

Agent Skills: Special Functions Library

Comprehensive special functions evaluation and manipulation

symbolic-computationID: a5c-ai/babysitter/special-functions-library

Repository

a5c-ai/babysitter
a5c-aiLicense: MIT
244

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Skill Metadata

Name
special-functions-library
Description
Comprehensive special functions evaluation and manipulation

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