DLMF:14.6.E2 (Q4744)

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DLMF:14.6.E2
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    Statements

    test
    𝖰 ν m ⁡ ( x ) = ( - 1 ) m ⁢ ( 1 - x 2 ) m / 2 ⁢ d m 𝖰 ν ⁡ ( x ) d x m . Ferrers-Legendre-Q-first-kind 𝑚 𝜈 𝑥 superscript 1 𝑚 superscript 1 superscript 𝑥 2 𝑚 2 derivative shorthand-Ferrers-Legendre-Q-first-kind 𝜈 𝑥 𝑥 𝑚 {\displaystyle{\displaystyle\mathsf{Q}^{m}_{\nu}\left(x\right)=(-1)^{m}\left(1% -x^{2}\right)^{m/2}\frac{{\mathrm{d}}^{m}\mathsf{Q}_{\nu}\left(x\right)}{{% \mathrm{d}x}^{m}}.}}
    0 references
    DLMF id
    DLMF:14.6.E2
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    Symbols used
    Ferrers function of the second kind
    test
    𝖰 ν μ ⁡ ( x ) Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C14.S3.E2.m2adec
    0 references
     
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