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Each command in the orthopoly package can be accessed by using either the long form or the short form of the command name in the command calling sequence.

The following is a list of available commands.

G(n, a, x) generates the nth Gegenbauer polynomial.

H(n, x) generates the nth Hermite polynomial.

L(n, x) generates the nth Laguerre polynomial.

L(n, a, x) generates the nth generalized Laguerre polynomial.

P(n, x) generates the nth Legendre polynomial.

P(n, a, b, x) generates the nth Jacobi polynomial.

T(n, x) generates the nth Chebyshev polynomial of the first kind.

U(n, x) generates the nth Chebyshev polynomial of the second kind.