Definition:monicChebyT

<< Definition:monicCharlier

Main Page

Definition:monicChebyU >>

The LaTeX DLMF and DRMF macro \monicChebyT represents the monic monic Chebyshev polynomial first kind.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\monicChebyT{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{T}}_{n}}}}$

\monicChebyT{n}@{x} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{T}}_{n}\left(x\right)}}}$

\monicChebyT{n}@@{x} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{T}}_{n}\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle T_{n}\left(x\right):=2^{n}{\widehat{T}}_{n}\left(x\right)}}}$ for ${\displaystyle{\displaystyle n\neq 1}}$ and ${\displaystyle{\displaystyle T_{1}\left(x\right)={\widehat{T}}_{1}\left(x\right)=x}}$.

Symbols List

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

<< Definition:monicCharlier

Main Page

Definition:monicChebyU >>