DLMF:18.18.E21 (Q5811)

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DLMF:18.18.E21
No description defined

    Statements

    Defining formula
    T m ⁡ ( x ) ⁢ T n ⁡ ( x ) = 1 2 ⁢ ( T m + n ⁡ ( x ) + T m - n ⁡ ( x ) ) . Chebyshev-polynomial-first-kind-T 𝑚 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 1 2 Chebyshev-polynomial-first-kind-T 𝑚 𝑛 𝑥 Chebyshev-polynomial-first-kind-T 𝑚 𝑛 𝑥 {\displaystyle{\displaystyle T_{m}\left(x\right)T_{n}\left(x\right)=\tfrac{1}{% 2}(T_{m+n}\left(x\right)+T_{m-n}\left(x\right)).}}
    0 references
    DLMF id
    DLMF:18.18.E21
    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.m2adec
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    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1bdec
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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1tdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1qdec
    0 references
     
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