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DLMF:22.16.E10 - MaRDI portal

DLMF:22.16.E10 (Q7822)

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DLMF:22.16.E10
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    Statements

    DLMF defining formula
    x = F โก ( ฯ• , k ) , ๐‘ฅ elliptic-integral-first-kind-F italic-ฯ• ๐‘˜ {\displaystyle{\displaystyle x=F\left(\phi,k\right),}}
    0 references
    Symbols used
    Legendreโ€™s incomplete elliptic integral of the first kind
    DLMF defining formula
    F โก ( ฯ• , k ) elliptic-integral-first-kind-F italic-ฯ• ๐‘˜ {\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}
    xml-id
    C19.S2.E4.m2adec
    0 references
    real
    DLMF defining formula
    x ๐‘ฅ {\displaystyle{\displaystyle x}}
    xml-id
    C22.S1.XMD1.m1idec
    0 references
    modulus
    DLMF defining formula
    k ๐‘˜ {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1gdec
    0 references
     
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