Chebyshev Constant Term

StatusFully Proven
TypeDefinition
ModuleChebyshevCircles.Definitions.Core

Statement

Definition Chebyshev Constant Term

The value $T_N(0)$, i.e.\ the coefficient of $x^0$ in $T_N(x)$. This is subtracted from the scaled polynomial's constant term to obtain the explicit constant $c(N,\theta)$.

def chebyshevConstantTerm (N : ) :  :=
  (Polynomial.Chebyshev.T  N).coeff 0

Dependencies (uses)

None

Neighborhood

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Mathlib Ready
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