DLMF:19.11.E12 (Q6287): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11808 / rank
 
Normal rank
Property / Symbols used: Q11808 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11808 / qualifier
 
xml-id: C19.S1.XMD5.m1jdec
Property / Symbols used
 
Property / Symbols used: Q11842 / rank
 
Normal rank
Property / Symbols used: Q11842 / qualifier
 
Defining formula:

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

\theta
Property / Symbols used: Q11842 / qualifier
 
xml-id: C19.S11.XMD1.m1kdec
Property / Symbols used
 
Property / Symbols used: angle (locally) / rank
 
Normal rank
Property / Symbols used: angle (locally) / qualifier
 
Defining formula:

ψ 𝜓 {\displaystyle{\displaystyle\psi}}

\psi
Property / Symbols used: angle (locally) / qualifier
 
xml-id: C19.S11.XMD8.m1dec

Latest revision as of 13:48, 2 January 2020

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DLMF:19.11.E12
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    Statements

    F ( ψ , k ) = 2 F ( θ , k ) , elliptic-integral-first-kind-F 𝜓 𝑘 2 elliptic-integral-first-kind-F 𝜃 𝑘 {\displaystyle{\displaystyle F\left(\psi,k\right)=2F\left(\theta,k\right),}}
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    DLMF:19.11.E12
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    F ( ϕ , k ) elliptic-integral-first-kind-F italic-ϕ 𝑘 {\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}
    C19.S2.E4.m2abdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C19.S1.XMD5.m1jdec
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    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    C19.S11.XMD1.m1kdec
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    ψ 𝜓 {\displaystyle{\displaystyle\psi}}
    C19.S11.XMD8.m1dec
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