Module intelligence 

Intelligence module for special mathematical functions

Provides function properties, evaluation strategies, and educational explanations for special functions (gamma, bessel, zeta, etc.).

Function Integration

Special functions often depend on each other mathematically:

• Zeta function uses Lanczos gamma for functional equation (negative arguments)
• Beta function defined as B(a,b) = Γ(a)·Γ(b)/Γ(a+b)
• Cross-function dependencies are documented in each function’s properties

Recent Enhancements

• Gamma: Float numerical evaluation (Lanczos, 14-digit precision), half-integer special cases
• Bessel: Input validation (NaN, infinity, domain checks), stability documentation
• Zeta: Euler-Maclaurin acceleration (200x speedup), Lanczos gamma integration

Usage Example

use mathhook_core::functions::special::SpecialIntelligence;

let intelligence = SpecialIntelligence::new();
let all_props = intelligence.get_all_properties();

// Access specific function properties
for (name, props) in all_props.iter() {
    println!("Function: {}", name);
}

Structs

SpecialIntelligence

Special function intelligence provider

SpecialStepGenerator

Step generator for special functions