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Special Functions Library

Comprehensive special functions evaluation and manipulation

Installable skillMITBy a5c-aiUpdated Oct 30, 2026
INTENDED FORClaude CodeCodexOpenClawCursorInstall in a listed agent.

instructions.md

---
name: special-functions-library-086965488522
description: Comprehensive special functions evaluation and manipulation
allowed-tools:
  - Bash
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metadata:
  specialization: mathematics
  domain: science
  category: symbolic-computation
  phase: 6
graph:
  domains: [domain:mathematics]
  specializations: [specialization:computational-mathematics]
  skillAreas: [skill-area:mathematical-reasoning, skill-area:computational-geometry, skill-area:graph-algorithms]
  workflows: [workflow:experiment-design]
  roles: [role:computational-scientist, role:research-scientist]
---

# 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

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Imported from the listed AgentSkill.sh category. Complete supplied package files and notices are retained. Required external tools and credentials are not installed. No bundled code was executed during import. Individual agent task behavior has not been tested.