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ChebyshevT

  • ChebyshevT[ n , x ] gives the Chebyshev polynomial of the first kind .
  • Mathematical function (see Section A.3.10).
  • Explicit polynomials are given for integer n.
  • .
  • ChebyshevT[ n , z ] has a branch cut discontinuity in the complex z plane running from to .
  • See the Mathematica book: Section 3.2.9.

    Further Examples

    Here is the fifth Chebyshev polynomial.

    In[1]:=

    Out[1]=

    This is the derivative.

    In[2]:=

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    This is the indefinite integral.

    In[3]:=

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    This verifies the defining equation.

    In[4]:=

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    In[5]:=

    Out[5]=