DLMF:23.18.E6 (Q7366): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: exponential function / rank
 
Normal rank
Property / Symbols used: exponential function / qualifier
 
Defining formula:

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2adec

Revision as of 01:20, 2 January 2020

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DLMF:23.18.E6
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    Statements

    Defining formula
    ε ⁢ ( 𝒜 ) = exp ⁡ ( π ⁢ i ⁢ ( a + d 12 ⁢ c + s ⁢ ( - d , c ) ) ) , 𝜀 𝒜 𝜋 𝑖 𝑎 𝑑 12 𝑐 𝑠 𝑑 𝑐 {\displaystyle{\displaystyle\varepsilon(\mathcal{A})=\exp\left(\pi i\left(% \frac{a+d}{12c}+s(-d,c)\right)\right),}}
    0 references
    DLMF id
    DLMF:23.18.E6
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
     
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