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3.11.E7 - MaRDI portal

3.11.E7 (Q1485)

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3.11.E7
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    Statements

    DLMF defining formula
    T n + 1 ⁡ ( x ) - 2 ⁢ x ⁢ T n ⁡ ( x ) + T n - 1 ⁡ ( x ) = 0 , Chebyshev-polynomial-first-kind-T 𝑛 1 𝑥 2 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 1 𝑥 0 {\displaystyle{\displaystyle T_{n+1}\left(x\right)-2xT_{n}\left(x\right)+T_{n-% 1}\left(x\right)=0,}}
    0 references
    constraint
    n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}
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    Symbols used
    Chebyshev polynomial of the first kind
    DLMF 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.m2aadec
    0 references

    Identifiers

     
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