Agent skill
special-functions-library
Comprehensive special functions evaluation and manipulation
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/special-functions-library
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- symbolic-computation
- specialization
- mathematics
SKILL.md
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
- 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
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