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ChebyshevU

ChebyshevU[n, x] gives the Chebyshev polynomial of the second kind U_n(x).

Examples

Chebyshev U polynomials:

ChebyshevU[0, x]
(* 1 *)

ChebyshevU[2, x]
(* -1 + 4*x^2 *)

ChebyshevU[3, x]
(* -4*x + 8*x^3 *)

Numerical value:

ChebyshevU[4, 0.5]
(* -1. *)

Please visit the official Wolfram Language Reference for more details.

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