Chebyshev polynomials: Difference between revisions

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Recurrence definition: simpler expression for the determinant
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The recurrence also allows to represent them explicitly as the determinant of a [[tridiagonal matrix]] of size <math>k \times k</math>:
 
: <math>T_k(x) = \det\det\begin{bmatrix}
x & 1 & 0 & \dots & 0 \\
1 & 2x & 1 & \dots & 0 \\