DLMF:4.21.E34 (Q1736): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1pdec

Latest revision as of 18:27, 1 January 2020

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DLMF:4.21.E34
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    Statements

    Defining formula
    cos ⁡ ( n ⁢ z ) + i ⁢ sin ⁡ ( n ⁢ z ) = ( cos ⁡ z + i ⁢ sin ⁡ z ) n . 𝑛 𝑧 𝑖 𝑛 𝑧 superscript 𝑧 𝑖 𝑧 𝑛 {\displaystyle{\displaystyle\cos\left(nz\right)+i\sin\left(nz\right)=(\cos z+i% \sin z)^{n}.}}
    0 references
    DLMF id
    DLMF:4.21.E34
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2awdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2audec
    0 references
    Q11223
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C4.S1.XMD3.m1dec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1pdec
    0 references
     
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