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DLMF:18.5.E4 - MaRDI portal

DLMF:18.5.E4 (Q6209)

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DLMF:18.5.E4
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    Statements

    DLMF defining formula
    W n ⁡ ( x ) = ( cos ⁡ ( n + 1 2 ) ⁢ θ ) / cos ⁡ ( 1 2 ⁢ θ ) . Chebyshev-polynomial-fourth-kind-W 𝑛 𝑥 𝑛 1 2 𝜃 1 2 𝜃 {\displaystyle{\displaystyle W_{n}\left(x\right)=\ifrac{(\cos(n+\tfrac{1}{2})% \theta)}{\cos\left(\tfrac{1}{2}\theta\right)}.}}
    0 references
    Symbols used
    Chebyshev polynomial of the fourth kind
    DLMF defining formula
    W n ⁡ ( x ) Chebyshev-polynomial-fourth-kind-W 𝑛 𝑥 {\displaystyle{\displaystyle W_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r7.m2adec
    0 references
    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1cdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1cdec
    0 references

    Identifiers

     
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