DLMF:29.10.E2 (Q8715): Difference between revisions

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

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2adec

Revision as of 01:24, 2 January 2020

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DLMF:29.10.E2
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    Statements

    z = i ( z - K - i K ) , superscript 𝑧 imaginary-unit 𝑧 complete-elliptic-integral-first-kind-K 𝑘 imaginary-unit complementary-complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle z^{\prime}=\mathrm{i}(z-K-\mathrm{i}{K^{\prime}})% ,}}
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    DLMF:29.10.E2
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    K ( k ) complementary-complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}
    C19.S2.E9.m1adec
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    K ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    C19.S2.E8.m1adec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2adec
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