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ChebyshevT

ChebyshevT[n, x]
gives the Chebyshev polynomial of the first kind T_n(x).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit polynomials are given for integer n.
  • T_n(costheta)=cos(ntheta).
  • For certain special arguments, ChebyshevT automatically evaluates to exact values.
  • ChebyshevT can be evaluated to arbitrary numerical precision.
  • ChebyshevT[n, z] has a branch cut discontinuity in the complex z plane running from - to -1.
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