Module evaluation 

Polynomial Recurrence Evaluation Engine

Generic three-term recurrence evaluation for all orthogonal polynomial families. Implements numerically stable evaluation using recurrence relations from properties.

Functions

evaluate_chebyshev_first_numerical

Numerical evaluator function for Chebyshev first kind polynomials T_n(x)

evaluate_chebyshev_second_numerical

Numerical evaluator function for Chebyshev second kind polynomials U_n(x)

evaluate_hermite_numerical

Numerical evaluator function for Hermite polynomials

evaluate_laguerre_numerical

Numerical evaluator function for Laguerre polynomials

evaluate_legendre_numerical

Numerical evaluator function for Legendre polynomials

evaluate_recurrence

Evaluate polynomial using three-term recurrence relation