DLMF:1.11.E23 (Q418): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10756 / rank
 
Normal rank
Property / Symbols used: Q10756 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q10756 / qualifier
 
xml-id: C1.S1.XMD4.m1ddec
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1hdec
Property / Symbols used
 
Property / Symbols used: Q10851 / rank
 
Normal rank
Property / Symbols used: Q10851 / qualifier
 
test:

R 𝑅 {\displaystyle{\displaystyle R}}

R
Property / Symbols used: Q10851 / qualifier
 
xml-id: C1.S11.XMD16.m1dec

Latest revision as of 15:15, 1 January 2020

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DLMF:1.11.E23
No description defined

    Statements

    R n ( cos ( α + 2 k π n ) + i sin ( α + 2 k π n ) ) , 𝑛 𝑅 𝛼 2 𝑘 𝜋 𝑛 𝑖 𝛼 2 𝑘 𝜋 𝑛 {\displaystyle{\displaystyle\sqrt[n]{R}\left(\cos\left(\frac{\alpha+2k\pi}{n}% \right)+i\sin\left(\frac{\alpha+2k\pi}{n}\right)\right),}}
    0 references
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aadec
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2adec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2abdec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2adec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C1.S1.XMD4.m1ddec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1hdec
    0 references
    R 𝑅 {\displaystyle{\displaystyle R}}
    C1.S11.XMD16.m1dec
    0 references