DLMF:19.11.E8 (Q6282): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
test:

sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2acdec
Property / Symbols used
 
Property / Symbols used: Q11807 / rank
 
Normal rank
Property / Symbols used: Q11807 / qualifier
 
test:

ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}

\phi
Property / Symbols used: Q11807 / qualifier
 
xml-id: C19.S1.XMD4.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11808 / rank
 
Normal rank
Property / Symbols used: Q11808 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11808 / qualifier
 
xml-id: C19.S1.XMD5.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11842 / rank
 
Normal rank
Property / Symbols used: Q11842 / qualifier
 
test:

θ 𝜃 {\displaystyle{\displaystyle\theta}}

\theta
Property / Symbols used: Q11842 / qualifier
 
xml-id: C19.S11.XMD1.m1gdec

Latest revision as of 12:48, 2 January 2020

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English
DLMF:19.11.E8
No description defined

    Statements

    E ( ϕ , k ) = E ( k ) - E ( θ , k ) + k 2 sin θ sin ϕ , elliptic-integral-second-kind-E italic-ϕ 𝑘 complete-elliptic-integral-second-kind-E 𝑘 elliptic-integral-second-kind-E 𝜃 𝑘 superscript 𝑘 2 𝜃 italic-ϕ {\displaystyle{\displaystyle E\left(\phi,k\right)=E\left(k\right)-E\left(% \theta,k\right)+k^{2}\sin\theta\sin\phi,}}
    0 references
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    E ( k ) complete-elliptic-integral-second-kind-E 𝑘 {\displaystyle{\displaystyle E\left(\NVar{k}\right)}}
    C19.S2.E8.m2adec
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    E ( ϕ , k ) elliptic-integral-second-kind-E italic-ϕ 𝑘 {\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}
    C19.S2.E5.m2aadec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2acdec
    0 references
    ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}
    C19.S1.XMD4.m1gdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C19.S1.XMD5.m1gdec
    0 references
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    C19.S11.XMD1.m1gdec
    0 references