DLMF:19.11.E7 (Q6281): Difference between revisions

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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.m1fdec
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.m1fdec

Latest revision as of 13:48, 2 January 2020

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DLMF:19.11.E7
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    Statements

    Defining formula
    F ⁡ ( ϕ , k ) = K ⁡ ( k ) - F ⁡ ( θ , k ) , elliptic-integral-first-kind-F italic-ϕ 𝑘 complete-elliptic-integral-first-kind-K 𝑘 elliptic-integral-first-kind-F 𝜃 𝑘 {\displaystyle{\displaystyle F\left(\phi,k\right)=K\left(k\right)-F\left(% \theta,k\right),}}
    0 references
    DLMF id
    DLMF:19.11.E7
    0 references
    Symbols used
    Q11600
    Defining formula
    K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E8.m1adec
    0 references
    Legendre’s incomplete elliptic integral of the first kind
    Defining formula
    F ⁡ ( ϕ , k ) elliptic-integral-first-kind-F italic-ϕ 𝑘 {\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}
    xml-id
    C19.S2.E4.m2aadec
    0 references
    Q11807
    Defining formula
    ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}
    xml-id
    C19.S1.XMD4.m1fdec
    0 references
    Q11808
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C19.S1.XMD5.m1fdec
    0 references
    Q11842
    Defining formula
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    xml-id
    C19.S11.XMD1.m1fdec
    0 references
     
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