Agent skill

special-functions-library

Comprehensive special functions evaluation and manipulation

Stars 514
Forks 31

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

  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

Expand your agent's capabilities with these related and highly-rated skills.

a5c-ai/babysitter

gsd-tools

Central utility skill for GSD operations. Provides config parsing, slug generation, timestamps, path operations, and orchestrates calls to other specialized skills. Acts as the unified entry point that the original gsd-tools.cjs provided via its lib/ modules (commands, config, core, init).

514 31
Explore
a5c-ai/babysitter

model-profile-resolution

Resolve model profile (quality/balanced/budget) at orchestration start and map agents to specific models. Enables cost/quality tradeoffs by selecting appropriate AI models for each agent role.

514 31
Explore
a5c-ai/babysitter

verification-suite

Plan structure validation, phase completeness checks, reference integrity verification, and artifact existence confirmation. Provides the structured verification layer ensuring GSD artifacts are well-formed and complete.

514 31
Explore
a5c-ai/babysitter

state-management

STATE.md reading, writing, and field-level updates. Provides cross-session state persistence via .planning/STATE.md with structured fields for current task, completed phases, blockers, decisions, and quick tasks.

514 31
Explore
a5c-ai/babysitter

git-integration

Git commit patterns, formats, and conventions for GSD methodology. Provides atomic commits per task, structured commit messages, planning file commits, branch management, and milestone tag operations.

514 31
Explore
a5c-ai/babysitter

frontmatter-parsing

YAML frontmatter parsing and manipulation for .planning/ documents. Provides read, write, update, query, and validation operations on frontmatter blocks in GSD markdown artifacts.

514 31
Explore

Didn't find tool you were looking for?

Be as detailed as possible for better results