DLMF:22.15.E10 (Q7105): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12010 / rank
 
Normal rank
Property / Symbols used: Q12010 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12010 / qualifier
 
xml-id: C22.S15.XMD4.m1bdec

Latest revision as of 15:28, 2 January 2020

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DLMF:22.15.E10
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    Statements

    Defining formula
    ζ = ± arcdn ⁡ ( x , k ) + 2 ⁢ m ⁢ K , 𝜁 plus-or-minus inverse-Jacobi-elliptic-dn 𝑥 𝑘 2 𝑚 𝐾 {\displaystyle{\displaystyle\zeta=\pm\operatorname{arcdn}\left(x,k\right)+2mK,}}
    0 references
    DLMF id
    DLMF:22.15.E10
    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.m1aedec
    0 references
    Q12009
    Defining formula
    arcdn ⁡ ( x , k ) inverse-Jacobi-elliptic-dn 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{arcdn}\left(\NVar{x},\NVar{k}\right)}}
    xml-id
    C22.S15.SS1.p1.m3abdec
    0 references
    Q12003
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C22.S1.XMD1.m1idec
    0 references
    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1idec
    0 references
    Q12006
    Defining formula
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C22.S15.XMD3.m1bdec
    0 references
    Q12010
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C22.S15.XMD4.m1bdec
    0 references
     
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