Chebyshev polynomial

Syntax: | `y = CHEBY(n,x)`

In the Sturm-Liouville boundary value problem, there is a special case, called Chebyshev's differential equation, which is defined as:

where n is a real number. The solutions of this equation are called Chebyshev functions of degree n.

If n is a non-negative integer, the Chebyshev functions are often referred to as Chebyshev polynomials,

The Chebyshev polynomials can be expressed by Rodrigues' formula:

or by