DLMF:19.25.E37 (Q6545): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: symmetric elliptic integral of second kind / rank
 
Normal rank
Property / Symbols used: symmetric elliptic integral of second kind / qualifier
 
Defining formula:

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

\CarlsonsymellintRG@{\NVar{x}}{\NVar{y}}{\NVar{z}}
Property / Symbols used: symmetric elliptic integral of second kind / qualifier
 
xml-id: C19.S16.E3.m2acdec

Revision as of 14:09, 2 January 2020

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DLMF:19.25.E37
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    ζ ( z ) + z ( z ) = 2 R G ( ( z ) - e 1 , ( z ) - e 2 , ( z ) - e 3 ) . Weierstrass-zeta-on-lattice 𝑧 𝕃 𝑧 Weierstrass-P-on-lattice 𝑧 𝕃 2 Carlson-integral-RG Weierstrass-P-on-lattice 𝑧 𝕃 Weierstrass-e-on-lattice 1 𝕃 Weierstrass-P-on-lattice 𝑧 𝕃 Weierstrass-e-on-lattice 2 𝕃 Weierstrass-P-on-lattice 𝑧 𝕃 Weierstrass-e-on-lattice 3 𝕃 {\displaystyle{\displaystyle\zeta\left(z\right)+z\wp\left(z\right)=2R_{G}\left% (\wp\left(z\right)-e_{1},\wp\left(z\right)-e_{2},\wp\left(z\right)-e_{3}\right% ).}}
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    DLMF:19.25.E37
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    R G ( x , y , z ) Carlson-integral-RG 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    C19.S16.E3.m2acdec
    0 references