A Rodrigues representation for a classical family of orthogonal polynomials expresses its 
th member as an 
th derivative of an auxiliary
function, multiplied by a specified factor.
For a nonnegative integer 
and a real number 
with 
, the Chebyshev
polynomial of the first kind has the representation
 |
and the Chebyshev polynomial of the second kind has the representation
 |
where 
is the gamma function.
