DLMF:18.18.E3 (Q5793): Difference between revisions

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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.}}
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    DLMF:18.18.E3
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