DLMF:19.9.E3 (Q6246): Difference between revisions

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Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11600 / rank
 
Normal rank
Property / Symbols used: Q11600 / qualifier
 
Defining formula:

K ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

\compellintKk@{\NVar{k}}
Property / Symbols used: Q11600 / qualifier
 
xml-id: C19.S2.E8.m1abdec

Revision as of 13:44, 2 January 2020

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DLMF:19.9.E3
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    Statements

    9 + k 2 k 2 8 < ( 8 + k 2 ) K ( k ) ln ( 4 / k ) < 9.096 . 9 superscript 𝑘 2 superscript superscript 𝑘 2 8 8 superscript 𝑘 2 complete-elliptic-integral-first-kind-K 𝑘 4 superscript 𝑘 9.096 {\displaystyle{\displaystyle 9+\frac{k^{2}{k^{\prime}}^{2}}{8}<\frac{(8+k^{2})% K\left(k\right)}{\ln\left(4/k^{\prime}\right)}<9.096.}}
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    DLMF:19.9.E3
    0 references
    K ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    C19.S2.E8.m1abdec
    0 references