CHEBYSHEVU _ _ _ _ _ _ _ _ _ _ _ _ operator

The ChebyshevU operator returns the nth Chebyshev U Polynomial (of the second kind).

syntax:

examples:

ChebyshevU(3,xx); 

          2
  4*x*(2*x   - 1) 



ChebyshevU(3,4); 

  496

Chebyshev's U polynomials are computed using the recurrence relati on:

ChebyshevU(n,x) := 2x*ChebyshevU(n-1,x) - ChebyshevU(n-2,x) with

ChebyshevU(0,x) := 0 and ChebyshevU(1,x) := 2x