Definition:monicChebyU

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The LaTeX DLMF and DRMF macro \monicChebyU represents the monic Chebyshev polynomial second kind.

This macro is in the category of polynomials.

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

\monicChebyU{n} produces U ^ n Chebyshev-polynomial-second-kind-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{U}}_{n}}}}
\monicChebyU{n}@{x} produces U ^ n ⁑ ( x ) Chebyshev-polynomial-second-kind-monic-p 𝑛 π‘₯ {\displaystyle{\displaystyle{\displaystyle{\widehat{U}}_{n}\left(x\right)}}}
\monicChebyU{n}@@{x} produces U ^ n ⁑ ( x ) Chebyshev-polynomial-second-kind-monic-p 𝑛 π‘₯ {\displaystyle{\displaystyle{\displaystyle{\widehat{U}}_{n}\left(x\right)}}}

These are defined by U n ⁑ ( x ) := 2 n ⁒ U ^ n ⁑ ( x ) . assign Chebyshev-polynomial-second-kind-U 𝑛 π‘₯ superscript 2 𝑛 Chebyshev-polynomial-second-kind-monic-p 𝑛 π‘₯ {\displaystyle{\displaystyle{\displaystyle U_{n}\left(x\right):=2^{n}{\widehat% {U}}_{n}\left(x\right)}.}}

Symbols List

U ^ n subscript ^ π‘ˆ 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{U}}_{n}}}}  : monic Chebyshev polynomial of the second kind : http://drmf.wmflabs.org/wiki/Definition:monicChebyU
U n subscript π‘ˆ 𝑛 {\displaystyle{\displaystyle{\displaystyle U_{n}}}}  : Chebyshev polynomial of the second kind : http://dlmf.nist.gov/18.3#T1.t1.r11


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