ChebyshevU(n, z)
n
Positive integer.

z
Real or complex number.

Description
Returns the Chebyshev polynomial of the second kind.

Examples
ChebyshevU(3, a)
8
a
3
-
4
a
ChebyshevU(7, x)
128
x
7
-
192
x
5
+
80
x
3
-
8
x
ChebyshevU(n, 1)
n
+
1
ChebyshevU(n, x)
sin
(
(
n
+
1
)
acos
(
x
)
)
-
x
2
+
1
ChebyshevU(n, -1)
ComplexInfinity
ChebyshevU(n, 0)
cos
n
π
2
ChebyshevU(n, -5)
-1
i
sin
(
(
n
+
1
)
acos
(
-5
)
)
2
6
ChebyshevU(3, 5)
980
ChebyshevU(3, -5)
-980
ChebyshevU(4, 5)
9701
ChebyshevU(4, -5)
9701

References

Related Functions
A
B
C
D
E
F
G
H
I
J
K
L
M
N
P
Q
R
S
T
V
W
Z