DLMF:4.2.E7 (Q1503)

From DRMF
Revision as of 18:01, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:4.2.E7
No description defined

    Statements

    Defining formula
    ln ⁡ ( x ± i ⁢ 0 ) = ln ⁡ | x | ± i ⁢ π , plus-or-minus 𝑥 imaginary-unit 0 plus-or-minus 𝑥 𝑖 𝜋 {\displaystyle{\displaystyle\ln\left(x\pm\mathrm{i}0\right)=\ln|x|\pm i\pi,}}
    0 references
    DLMF id
    DLMF:4.2.E7
    0 references
    constraint
    - ∞ < x < 0 𝑥 0 {\displaystyle{\displaystyle-\infty<x<0}}
    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.m2acdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1503&oldid=26525"