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3.11.E12 - MaRDI portal

3.11.E12 (Q1494)

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3.11.E12
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    Statements

    DLMF defining formula
    f ⁢ ( x ) = ∑ ′ n = 0 ′ ∞ ′ ⁢ d n ⁢ T n ⁡ ( 2 ⁢ x - a - b b - a ) . 𝑓 𝑥 superscript subscript superscript ′ 𝑛 0 subscript 𝑑 𝑛 Chebyshev-polynomial-first-kind-T 𝑛 2 𝑥 𝑎 𝑏 𝑏 𝑎 {\displaystyle{\displaystyle f(x)=\sideset{}{{}^{\prime}}{\sum}_{n=0}^{\infty}% d_{n}T_{n}\left(\frac{2x-a-b}{b-a}\right).}}
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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.m2aedec
    0 references

    Identifiers

     
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