DLMF:18.9.E12 (Q5608)

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DLMF:18.9.E12
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    Statements

    Defining formula
    T n + 1 ⁡ ( x ) + T n ⁡ ( x ) = ( 1 + x ) ⁢ W n ⁡ ( x ) . Chebyshev-polynomial-first-kind-T 𝑛 1 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 1 𝑥 Chebyshev-polynomial-fourth-kind-W 𝑛 𝑥 {\displaystyle{\displaystyle T_{n+1}\left(x\right)+T_{n}\left(x\right)=(1+x)W_% {n}\left(x\right).}}
    0 references
    DLMF id
    DLMF:18.9.E12
    0 references
    Symbols used
    Q11207
    Defining formula
    T n ⁡ ( x ) Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r4.m2addec
    0 references
    Q11746
    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.m2aadec
    0 references
     
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