DLMF:2.10.E36 (Q1023): 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.m2akdec

Revision as of 16:38, 1 January 2020

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DLMF:2.10.E36
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    test
    P n ⁡ ( cos ⁡ α ) = ( 2 π ⁢ n ⁢ sin ⁡ α ) 1 / 2 ⁢ cos ⁡ ( n ⁢ α + 1 2 ⁢ α - 1 4 ⁢ π ) + o ⁡ ( n - 1 ) . Legendre-spherical-polynomial 𝑛 𝛼 superscript 2 𝜋 𝑛 𝛼 1 2 𝑛 𝛼 1 2 𝛼 1 4 𝜋 little-o superscript 𝑛 1 {\displaystyle{\displaystyle P_{n}\left(\cos\alpha\right)=\left(\frac{2}{\pi n% \sin\alpha}\right)^{1/2}\cos\left(n\alpha+\tfrac{1}{2}\alpha-\tfrac{1}{4}\pi% \right)+o\left(n^{-1}\right).}}
    0 references
    DLMF id
    DLMF:2.10.E36
    0 references
    Symbols used
    Q10920
    test
    P n ⁡ ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r10.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2akdec
    0 references
     
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