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