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DOCUMENTATION CENTER SEARCH
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Mathematical Functions
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Special Functions
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Built-in
Mathematica
Symbol
Orthogonal Polynomials
Tutorials »
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ChebyshevU
GegenbauerC
JacobiP
See Also »
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Mathematical Functions
Special Functions
More About »
ChebyshevT
ChebyshevT
[
n
,
x
]
gives the Chebyshev polynomial of the first kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
Explicit polynomials are given for integer
n
.
.
For certain special arguments,
ChebyshevT
automatically evaluates to exact values.
ChebyshevT
can be evaluated to arbitrary numerical precision.
ChebyshevT
automatically threads over lists.
ChebyshevT
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
-
to
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Compute the
Chebyshev polynomial:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(2)
Applications
(2)
Properties & Relations
(3)
Possible Issues
(1)
SEE ALSO
ChebyshevU
GegenbauerC
JacobiP
TUTORIALS
Orthogonal Polynomials
RELATED LINKS
Demonstrations with ChebyshevT
(
Wolfram Demonstrations Project
)
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Mathematical Functions
Special Functions
New in 1
. 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 