DLMF:22.18.E4 (Q7168): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12026 / rank
 
Normal rank
Property / Symbols used: Q12026 / qualifier
 
Defining formula:

l ( r ) 𝑙 𝑟 {\displaystyle{\displaystyle l(r)}}

l(r)
Property / Symbols used: Q12026 / qualifier
 
xml-id: C22.S18.XMD7.m1adec

Latest revision as of 15:39, 2 January 2020

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DLMF:22.18.E4
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    Statements

    l ( r ) = ( 1 / 2 ) arccn ( r , 1 / 2 ) . 𝑙 𝑟 1 2 inverse-Jacobi-elliptic-cn 𝑟 1 2 {\displaystyle{\displaystyle l(r)=(1/\sqrt{2})\operatorname{arccn}\left(r,1/% \sqrt{2}\right).}}
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    DLMF:22.18.E4
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    arccn ( x , k ) inverse-Jacobi-elliptic-cn 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{arccn}\left(\NVar{x},\NVar{k}\right)}}
    C22.S15.SS1.p1.m2adec
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    r 𝑟 {\displaystyle{\displaystyle r}}
    C22.S18.XMD5.m1dec
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    l ( r ) 𝑙 𝑟 {\displaystyle{\displaystyle l(r)}}
    C22.S18.XMD7.m1adec
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