ChebyshevT INDEX

CHEBYSHEVT _ _ _ _ _ _ _ _ _ _ _ _ operator

The ChebyshevT operator computes the nth Chebyshev T Polynomial (of the first kind).

syntax:

ChebyshevT(<integer>,<expression>)

examples:


ChebyshevT(3,xx); 

          2
  xx*(4*xx   - 3) 



ChebyshevT(3,4); 

  244

Chebyshev's T polynomials are computed using the recurrence relati on:

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

ChebyshevT(0,x) := 0 and ChebyshevT(1,x) := x