a5c-ai/special-functions-library
library/specializations/domains/science/mathematics/skills/special-functions-library/SKILL.md
Comprehensive special functions evaluation and manipulation
$ install --global
skillsauthnpx skillsauth add a5c-ai/babysitter special-functions-libraryInstall this skill globally with one command. Works with Claude Code, Cursor, and Windsurf.
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SKILL.md
- name:
- special-functions-library
- description:
- Comprehensive special functions evaluation and manipulation
- specialization:
- mathematics
- domain:
- science
- category:
- symbolic-computation
- phase:
- 6
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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