DLMF:4.4.E16 (Q1550)

From DRMF
Revision as of 18:06, 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:4.4.E16
No description defined

    Statements

    Defining formula
    lim z → ∞ ⁡ z a ⁢ e - z = 0 , subscript → 𝑧 superscript 𝑧 𝑎 superscript 𝑒 𝑧 0 {\displaystyle{\displaystyle\lim_{z\to\infty}z^{a}e^{-z}=0,}}
    0 references
    DLMF id
    DLMF:4.4.E16
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    | ph ⁡ z | ≤ 1 2 ⁢ π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}
    0 references
    | ph ⁡ z | ≤ 1 2 ⁢ π - δ ph 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}
    0 references
    < 1 2 ⁢ π absent 1 2 𝜋 {\displaystyle{\displaystyle<\tfrac{1}{2}\pi}}
    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.m2ajdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ajdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1550&oldid=26678"