DLMF:14.6.E3 (Q4745): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11481 / rank
 
Normal rank
Property / Symbols used: Q11481 / qualifier
 
Defining formula:

P ν μ ⁡ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\assLegendreP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Q11481 / qualifier
 
xml-id: C14.S21.SS1.p1.m1adec

Revision as of 01:26, 2 January 2020

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DLMF:14.6.E3
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    Statements

    Defining formula
    P ν m ⁡ ( x ) = ( x 2 - 1 ) m / 2 ⁢ d m P ν ⁡ ( x ) d x m , Legendre-P-first-kind 𝑚 𝜈 𝑥 superscript superscript 𝑥 2 1 𝑚 2 derivative shorthand-Legendre-P-first-kind 𝜈 𝑥 𝑥 𝑚 {\displaystyle{\displaystyle P^{m}_{\nu}\left(x\right)=\left(x^{2}-1\right)^{m% /2}\frac{{\mathrm{d}}^{m}P_{\nu}\left(x\right)}{{\mathrm{d}x}^{m}},}}
    0 references
    DLMF id
    DLMF:14.6.E3
    0 references
    Symbols used
    Q11481
    Defining formula
    P ν μ ⁡ ( z ) Legendre-P-first-kind 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C14.S21.SS1.p1.m1adec
    0 references
     
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