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:13.18.E11 - MaRDI portal

DLMF:13.18.E11 (Q5277)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:13.18.E11
No description defined

    Statements

    DLMF defining formula
    W - 1 2 ⁢ a , ± 1 4 ⁡ ( 1 2 ⁢ z 2 ) = 2 1 2 ⁢ a ⁢ z ⁢ U ⁡ ( a , z ) , Whittaker-confluent-hypergeometric-W 1 2 𝑎 plus-or-minus 1 4 1 2 superscript 𝑧 2 superscript 2 1 2 𝑎 𝑧 parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle W_{-\frac{1}{2}a,\pm\frac{1}{4}}\left(\tfrac{1}{2% }z^{2}\right)=2^{\frac{1}{2}a}\sqrt{z}U(a,z),}}
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    DLMF defining formula
    W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E3.m2aedec
    0 references
    Q11291
    DLMF defining formula
    U ⁡ ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C12.S2.SS1.p1.m1adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1jdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q5277&oldid=24173750"
    Powered by MediaWiki