Module symbolic 

Symbolic Polynomial Expansion

Provides symbolic expansion of orthogonal polynomials to explicit Expression forms using recurrence relations. All implementations are mathematically verified against

Functions

expand_chebyshev_first_symbolic

Expand Chebyshev polynomial of the first kind T_n(x) to explicit symbolic form

expand_chebyshev_second_symbolic

Expand Chebyshev polynomial of the second kind U_n(x) to explicit symbolic form

expand_hermite_symbolic

Expand Hermite polynomial H_n(x) to explicit symbolic form

expand_laguerre_symbolic

Expand Laguerre polynomial L_n(x) to explicit symbolic form

expand_legendre_symbolic

Expand Legendre polynomial P_n(x) to explicit symbolic form