DLMF:19.24.E9 (Q6492): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
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Property / Symbols used
 
Property / Symbols used: symmetric elliptic integral of first kind / rank
 
Normal rank
Property / Symbols used: symmetric elliptic integral of first kind / qualifier
 
Defining formula:

R F ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

\CarlsonsymellintRF@{\NVar{x}}{\NVar{y}}{\NVar{z}}
Property / Symbols used: symmetric elliptic integral of first kind / qualifier
 
xml-id: C19.S16.E1.m2acdec

Revision as of 14:04, 2 January 2020

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DLMF:19.24.E9
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    Statements

    1 2 g 1 2 R G ( a 0 2 , g 0 2 , 0 ) R F ( a 0 2 , g 0 2 , 0 ) 1 2 a 1 2 , 1 2 superscript subscript 𝑔 1 2 Carlson-integral-RG superscript subscript 𝑎 0 2 superscript subscript 𝑔 0 2 0 Carlson-integral-RF superscript subscript 𝑎 0 2 superscript subscript 𝑔 0 2 0 1 2 superscript subscript 𝑎 1 2 {\displaystyle{\displaystyle\frac{1}{2}\,g_{1}^{2}\leq\frac{R_{G}\left(a_{0}^{% 2},g_{0}^{2},0\right)}{R_{F}\left(a_{0}^{2},g_{0}^{2},0\right)}\leq\frac{1}{2}% \,a_{1}^{2},}}
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    DLMF:19.24.E9
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    R F ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    C19.S16.E1.m2acdec
    0 references