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Commit 2021-01-29 06:49 145f1270

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feat(ring_theory/polynomial/chebyshev/defs): Chebyshev polynomials of the second kind (#5793) This will define Chebyshev polynomials of the second kind and introduce some basic properties:

  • Define Chebyshev polynomials of the second kind.
  • Relate Chebyshev polynomials of the first and second kind through recursive formulae
  • Prove trigonometric identity regarding Chebyshev polynomials of the second kind
  • Compute the derivative of the Chebyshev polynomials of the first kind in terms of the Chebyshev polynomials of the second kind.
  • Compute the derivative of the Chebyshev polynomials of the second kind in terms of the Chebyshev polynomials of the first kind.

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