chebyshev_U( n , z )
The Chebyshev polynomial of the second kind of z in SageMath. A solution of the differential equation
\[ ( 1-z^2 ) \frac{ d^2 f }{ dz^2 } -3z \frac{ d f }{ dz } + n(n+2) f = 0 \]Explicit form:
Plot on the real axis:
Special values:
Related functions: chebyshev_T
Function category: orthogonal polynomials sagemath-docs