DLMF:18.18.E3 (Q5793)

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DLMF:18.18.E3
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    Statements

    Defining formula
    a n = ( n + 1 2 ) ⁢ ∫ - 1 1 f ⁢ ( x ) ⁢ P n ⁡ ( x ) ⁢ d x . subscript 𝑎 𝑛 𝑛 1 2 superscript subscript 1 1 𝑓 𝑥 shorthand-Legendre-P-first-kind 𝑛 𝑥 𝑥 {\displaystyle{\displaystyle a_{n}=\left(n+\tfrac{1}{2}\right)\int_{-1}^{1}f(x% )P_{n}\left(x\right)\mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:18.18.E3
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
     
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