DLMF:28.6.E20 (Q8254): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12293 / rank
 
Normal rank
Property / Symbols used: Q12293 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12293 / qualifier
 
xml-id: C28.S6.XMD2.m1dec

Latest revision as of 14:45, 2 January 2020

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DLMF:28.6.E20
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    Statements

    Defining formula
    lim inf n → ∞ ⁡ ρ n ( j ) n 2 ≥ k ⁢ k ′ ⁢ ( K ⁡ ( k ) ) 2 = 2.04183 4 ⁢ … , subscript limit-infimum → 𝑛 superscript subscript 𝜌 𝑛 𝑗 superscript 𝑛 2 𝑘 superscript 𝑘 ′ superscript complete-elliptic-integral-first-kind-K 𝑘 2 2.04183 4 … {\displaystyle{\displaystyle\liminf_{n\to\infty}\frac{\rho_{n}^{(j)}}{n^{2}}% \geq kk^{\prime}(K\left(k\right))^{2}=2.04183\;4\dots,}}
    0 references
    DLMF id
    DLMF:28.6.E20
    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
    Q10827
    Defining formula
    lim inf limit-infimum {\displaystyle{\displaystyle\liminf}}
    xml-id
    introduction.Sx4.p2.t1.r4.m2adec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1edec
    0 references
    Q12291
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C28.S1.XMD3.m1dec
    0 references
    Q12292
    Defining formula
    ρ n ( j ) superscript subscript 𝜌 𝑛 𝑗 {\displaystyle{\displaystyle\rho_{n}^{(j)}}}
    xml-id
    C28.S6.XMD1.m1adec
    0 references
    Q12293
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C28.S6.XMD2.m1dec
    0 references
     
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