ChebyshevU

ChebyshevU[n,x]

gives the Chebyshev polynomial of the second kind .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit polynomials are given for integer n.
  • .
  • For certain special arguments, ChebyshevU automatically evaluates to exact values.
  • ChebyshevU can be evaluated to arbitrary numerical precision.
  • ChebyshevU automatically threads over lists.
  • ChebyshevU[n,z] has a branch cut discontinuity in the complex z plane running from to for noninteger n.

Examples

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Basic Examples  (2)

Compute the 10^(th) ChebyshevU polynomial:

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Scope  (6)

Generalizations & Extensions  (2)

Applications  (3)

Properties & Relations  (7)

Possible Issues  (1)

See Also

ChebyshevT  GegenbauerC  JacobiP

Tutorials

Introduced in 1988
(1.0)