Difference between revisions of "Relationship between Chebyshev U and Gegenbauer C"

Theorem: The following formula holds: $$U_n(x)=\sqrt{1-x^2}C_{n-1}^1(x),$$ where $U_n$ denotes a Chebyshev U polynomial and $C_{n-1}^1$ denotes a Gegenbauer C polynomial.