DLMF:4.2.E33 (Q1530): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m2akdec

Revision as of 18:04, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.2.E33
No description defined

    Statements

    Defining formula
    e z = ( exp ⁡ z ) ⁢ exp ⁡ ( 2 ⁢ k ⁢ z ⁢ π ⁢ i ) , superscript 𝑒 𝑧 𝑧 2 𝑘 𝑧 𝜋 imaginary-unit {\displaystyle{\displaystyle e^{z}=(\exp z)\exp\left(2kz\pi\mathrm{i}\right),}}
    0 references
    DLMF id
    DLMF:4.2.E33
    0 references
    constraint
    k ∈ ℤ 𝑘 {\displaystyle{\displaystyle k\in\mathbb{Z}}}
    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.m2afdec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aadec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2akdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1530&oldid=26614"