Chebyshev Polynomials
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The Chebyshev polynomial of degree
is
denoted
.
It is defined as:

Chebyshev polynomials satisfy the following relationships
and recursion formulae:
Recursion formulae:



Zeros, exactly
distinct zeros in the
interval
,
as follows:

Extrema, exactly
real extrema in the
interval
,
as follows:


Orthogonality:
