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ChebyshevU

  • ChebyshevU[ n , x ] gives the Chebyshev polynomial of the second kind .
  • Mathematical function (see Section A.3.10).
  • Explicit polynomials are given for integer n.
  • .
  • ChebyshevU[ 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

    This gives the fifth Chebyshev polynomial of the second kind.

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    This is the derivative.

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    This is the indefinite integral.

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    This verifies the defining equation.

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