Editing Chebyshev polynomials (section)

===Commuting polynomials definition===

Chebyshev polynomials can also be characterized by the following theorem:<ref>{{cite journal|first=J. F. |last=Ritt |author-link=Joseph Ritt |doi=10.1090/S0002-9947-1922-1501189-9 |title=Prime and Composite Polynomials |journal=Trans. Amer. Math. Soc. |year=1922|volume=23 |pages=51–66 | url=https://www.ams.org/journals/tran/1922-023-01/S0002-9947-1922-1501189-9 |doi-access=free}}</ref>

If <math> F_n(x)</math> is a family of monic polynomials with coefficients in a field of characteristic <math>0</math> such that <math> \deg F_n(x) = n</math> and <math> F_m(F_n(x)) = F_n(F_m(x))</math> for all 
<math>m</math> and <math> n</math>, then, up to a simple change of variables, either <math> F_n(x) = x^n</math> for all <math> n</math> or 
<math>F_n(x) = 2\cdot T_n(x/2)</math> for all <math> n</math>.