Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
DLMF:4.9.E2 - MaRDI portal

DLMF:4.9.E2 (Q1701)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:4.9.E2
No description defined

    Statements

    DLMF defining formula
    ln ⁡ ( 1 + z 1 - z ) = 2 ⁢ z 1 - z 2 3 - 4 ⁢ z 2 5 - 9 ⁢ z 2 7 - 16 ⁢ z 2 9 - ⁢ ⋯ , 1 𝑧 1 𝑧 continued-fraction 2 𝑧 1 continued-fraction superscript 𝑧 2 3 continued-fraction 4 superscript 𝑧 2 5 continued-fraction 9 superscript 𝑧 2 7 continued-fraction 16 superscript 𝑧 2 limit-from 9 ⋯ {\displaystyle{\displaystyle\ln\left(\frac{1+z}{1-z}\right)=\cfrac{2z}{1-% \cfrac{z^{2}}{3-\cfrac{4z^{2}}{5-\cfrac{9z^{2}}{7-\cfrac{16z^{2}}{9-}}}}}% \cdots,}}
    0 references
    Symbols used
    principal branch of logarithm function
    DLMF defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1adec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q1701&oldid=24164755"
    Powered by MediaWiki