DLMF:19.24.E5 (Q6486): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11824 / rank
 
Normal rank
Property / Symbols used: Q11824 / qualifier
 
test:

a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}

a_{n}
Property / Symbols used: Q11824 / qualifier
 
xml-id: C19.S8.XMD1.m1dec

Revision as of 13:04, 2 January 2020

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DLMF:19.24.E5
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    Statements

    test
    1 a n ≤ 2 π ⁢ R F ⁡ ( 0 , a 0 2 , g 0 2 ) ≤ 1 g n , 1 subscript 𝑎 𝑛 2 𝜋 Carlson-integral-RF 0 superscript subscript 𝑎 0 2 superscript subscript 𝑔 0 2 1 subscript 𝑔 𝑛 {\displaystyle{\displaystyle\frac{1}{a_{n}}\leq\frac{2}{\pi}R_{F}\left(0,a_{0}% ^{2},g_{0}^{2}\right)\leq\frac{1}{g_{n}},}}
    0 references
    DLMF id
    DLMF:19.24.E5
    0 references
    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
    0 references
    Symbols used
    symmetric elliptic integral of first kind
    test
    R F ⁡ ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E1.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
    0 references
    Q11820
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C19.S1.XMD3.m1dec
    0 references
    Q11824
    test
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C19.S8.XMD1.m1dec
    0 references
     
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