DLMF:4.2.E20 (Q1516)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:4.2.E20
No description defined

    Statements

    Defining formula
    exp ⁡ ( z + 2 ⁢ π ⁢ i ) = exp ⁡ z . 𝑧 2 𝜋 𝑖 𝑧 {\displaystyle{\displaystyle\exp\left(z+2\pi i\right)=\exp z.}}
    0 references
    DLMF id
    DLMF:4.2.E20
    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.m2addec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2aadec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2addec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1mdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1516&oldid=26562"