Formula:KLS:09.08:52

<< Formula:KLS:09.08:51

formula in Jacobi: Special cases

Formula:KLS:09.08:53 >>

${\displaystyle{\displaystyle{\displaystyle T_{1}\left(x\right)={\widehat{T}}_{1}\left(x\right)=x\quad\textrm{and}\quad T_{n}\left(x\right)=2^{n}{\widehat{T}}_{n}\left(x\right),\quad n\neq 1}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle T_{n}}}}$ : Chebyshev polynomial of the first kind : http://dlmf.nist.gov/18.3#T1.t1.r8
${\displaystyle{\displaystyle{\displaystyle{\widehat{T}}_{n}}}}$ : monic Chebyshev polynomial of the first kind : http://drmf.wmflabs.org/wiki/Definition:monicChebyT

Bibliography

Equation in Section 9.8 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:09.08:51

formula in Jacobi: Special cases

Formula:KLS:09.08:53 >>