DLMF:14.6.E4 (Q4746)

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DLMF:14.6.E4
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    Statements

    Defining formula
    Q ν m ⁡ ( x ) = ( x 2 - 1 ) m / 2 ⁢ d m Q ν ⁡ ( x ) d x m , Legendre-Q-second-kind 𝑚 𝜈 𝑥 superscript superscript 𝑥 2 1 𝑚 2 derivative shorthand-Legendre-Q-second-kind 𝜈 𝑥 𝑥 𝑚 {\displaystyle{\displaystyle Q^{m}_{\nu}\left(x\right)=\left(x^{2}-1\right)^{m% /2}\frac{{\mathrm{d}}^{m}Q_{\nu}\left(x\right)}{{\mathrm{d}x}^{m}},}}
    0 references
    DLMF id
    DLMF:14.6.E4
    0 references
    Symbols used
    Q11470
    Defining formula
    Q ν μ ⁡ ( z ) Legendre-Q-second-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle Q^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C14.S21.SS1.p1.m2adec
    0 references
     
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