DLMF:14.12.E13 (Q4834): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10920 / rank
 
Normal rank
Property / Symbols used: Q10920 / qualifier
 
test:

P n ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

\LegendrepolyP{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q10920 / qualifier
 
xml-id: C18.S3.T1.t1.r10.m2aadec

Revision as of 00:45, 2 January 2020

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DLMF:14.12.E13
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    Statements

    𝑸 n ( x ) = 1 2 ( n ! ) - 1 1 P n ( t ) x - t d t . shorthand-associated-Legendre-black-Q 𝑛 𝑥 1 2 𝑛 superscript subscript 1 1 Legendre-spherical-polynomial 𝑛 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\boldsymbol{Q}_{n}\left(x\right)=\frac{1}{2(n!)}% \int_{-1}^{1}\frac{P_{n}\left(t\right)}{x-t}\mathrm{d}t.}}
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    P n ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}
    C18.S3.T1.t1.r10.m2aadec
    0 references