DLMF:23.14.E3 (Q7329): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3abdec

Revision as of 16:03, 2 January 2020

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DLMF:23.14.E3
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    Statements

    3 ( z ) d z = 1 120 ′′′ ( z ) - 3 20 g 2 ζ ( z ) + 1 10 g 3 z . Weierstrass-P-on-lattice 3 𝑧 𝕃 𝑧 1 120 diffop Weierstrass-P-on-lattice 3 𝑧 𝕃 3 20 Weierstrass-invariants-on-lattice 2 𝕃 Weierstrass-zeta-on-lattice 𝑧 𝕃 1 10 Weierstrass-invariants-on-lattice 3 𝕃 𝑧 {\displaystyle{\displaystyle\int{\wp^{3}}\left(z\right)\mathrm{d}z=\frac{1}{12% 0}\wp'''\left(z\right)-\frac{3}{20}g_{2}\zeta\left(z\right)+\frac{1}{10}g_{3}z% .}}
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    DLMF:23.14.E3
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    ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}
    C23.S2.E4.m2abdec
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    g j Weierstrass-invariants-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle g_{\NVar{j}}}}
    C23.S3.EGx1.m1aadec
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    ζ ( z ) Weierstrass-zeta-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}
    C23.S2.E5.m2aadec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1abdec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3abdec
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