DLMF:18.10.E5 (Q5629): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2addec

Revision as of 14:27, 2 January 2020

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DLMF:18.10.E5
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    P n ( cos θ ) = 1 π 0 π ( cos θ + i sin θ cos ϕ ) n d ϕ . Legendre-spherical-polynomial 𝑛 𝜃 1 𝜋 superscript subscript 0 𝜋 superscript 𝜃 𝑖 𝜃 italic-ϕ 𝑛 italic-ϕ {\displaystyle{\displaystyle P_{n}\left(\cos\theta\right)=\frac{1}{\pi}\int_{0% }^{\pi}(\cos\theta+i\sin\theta\cos\phi)^{n}\mathrm{d}\phi.}}
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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
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2addec
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