Module special 

Special Function and Polynomial Properties

Comprehensive mathematical properties for advanced special functions (gamma, bessel, zeta) and polynomial families (Legendre, Hermite, Laguerre, Chebyshev, etc.). Following SymPy’s approach but optimized for performance.

Structs

AsymptoticData

Asymptotic behavior data

DifferentialEquation

Differential equation representation

GeneratingFunction

Generating function for polynomial families

OrthogonalityData

Orthogonality properties for polynomial families

PolynomialProperties

Polynomial function properties (legendre, hermite, laguerre, etc.)

RodriguesFormula

Rodrigues’ formula for polynomial construction

SpecialProperties

Special function properties (gamma, bessel, zeta, etc.)

Enums

GeneratingFunctionType

Types of generating functions

PolynomialFamily

Polynomial family classification

SymbolicExpander

Symbolic polynomial expander for function intelligence