Polynomial Functions

Her(n, x) Hermite	Tcheb(n, x) Chebyshev of the first kind.
Lag(n, x) Laguerre	Ucheb(n, x) Chebyshev of the second kind.
Leg(n, x) Legendre	Jac(n, a, b, x) Jacobi with parameters a and b.

These functions return the value of the listed polynomial of degree n at x.

Arguments:

n is a non-negative integer.
x is a real scalar.
a, b are real scalars greater than –1.

Notes:

These special polynomials arise as solutions to differential equations.

Hermite:
Laguerre:
Legendre:
Chebyshev (first kind):
Chebyshev (second kind):
Jacobi:

Chebyshev and Legendre polynomials are special cases of the Jacobi polynomials.