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:27.14.E14 - MaRDI portal

DLMF:27.14.E14 (Q8806)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:27.14.E14
No description defined

    Statements

    DLMF defining formula
    η ⁡ ( a ⁢ τ + b c ⁢ τ + d ) = ε ⁢ ( - i ⁢ ( c ⁢ τ + d ) ) 1 2 ⁢ η ⁡ ( τ ) , Dedekind-modular-Eta 𝑎 𝜏 𝑏 𝑐 𝜏 𝑑 𝜀 superscript imaginary-unit 𝑐 𝜏 𝑑 1 2 Dedekind-modular-Eta 𝜏 {\displaystyle{\displaystyle\eta\left(\frac{a\tau+b}{c\tau+d}\right)=% \varepsilon(-\mathrm{i}(c\tau+d))^{\frac{1}{2}}\eta\left(\tau\right),}}
    0 references
    constraint
    ℑ ⁡ τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}
    0 references
    Symbols used
    Dedekind’s eta function (or Dedekind modular function)
    DLMF defining formula
    η ⁡ ( τ ) Dedekind-modular-Eta 𝜏 {\displaystyle{\displaystyle\eta\left(\NVar{\tau}\right)}}
    xml-id
    C27.S14.E12.m2abdec
    0 references
    imaginary part
    DLMF defining formula
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2abdec
    0 references
    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2acdec
    0 references
    integer
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C27.S14.XMD4.m1dec
    0 references
    integer
    DLMF defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C27.S14.XMD5.m1dec
    0 references
    integer
    DLMF defining formula
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C27.S14.XMD6.m1dec
    0 references
    integer
    DLMF defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S14.XMD7.m1dec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q8806&oldid=24177040"
    Powered by MediaWiki