DLMF:1.10.E7 (Q362): 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: Q10760 / rank
 
Normal rank
Property / Symbols used: Q10760 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q10760 / qualifier
 
xml-id: C1.S1.XMD1.m1edec

Revision as of 16:11, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.10.E7
No description defined

    Statements

    Defining formula
    a n = 1 2 ⁢ π ⁢ i ⁢ ∫ | z - z 0 | = r f ⁢ ( z ) ( z - z 0 ) n + 1 ⁢ d z , subscript 𝑎 𝑛 1 2 𝜋 𝑖 subscript 𝑧 subscript 𝑧 0 𝑟 𝑓 𝑧 superscript 𝑧 subscript 𝑧 0 𝑛 1 𝑧 {\displaystyle{\displaystyle a_{n}=\frac{1}{2\pi i}\int_{|z-z_{0}|=r}\frac{f(z% )}{(z-z_{0})^{n+1}}\mathrm{d}z,}}
    0 references
    DLMF id
    DLMF:1.10.E7
    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
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1edec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q362&oldid=22916"