ChebyshevT

ChebyshevT[n,x]

gives the Chebyshev polynomial of the first kind .

Details

  • 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

open allclose all

Basic Examples  (2)

Compute the 10^(th) Chebyshev polynomial:

In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=

Scope  (6)

Generalizations & Extensions  (2)

Applications  (2)

Properties & Relations  (7)

Possible Issues  (1)

See Also

ChebyshevU  GegenbauerC  JacobiP

Tutorials

Introduced in 1988
(1.0)