DLMF:19.29.E30 (Q6669): 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.m2aedec

Revision as of 14:21, 2 January 2020

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DLMF:19.29.E30
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    Statements

    y x d t Q ( t 2 ) = 2 R F ( U , U - g + 2 f h , U - g - 2 f h ) , superscript subscript 𝑦 𝑥 𝑡 𝑄 superscript 𝑡 2 2 Carlson-integral-RF 𝑈 𝑈 𝑔 2 𝑓 𝑈 𝑔 2 𝑓 {\displaystyle{\displaystyle\int_{y}^{x}\frac{\mathrm{d}t}{\sqrt{Q(t^{2})}}=2R% _{F}\left(U,U-g+2\sqrt{fh},U-g-2\sqrt{fh}\right),}}
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    DLMF:19.29.E30
    0 references
    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.m2aedec
    0 references