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:13.14.E11 - MaRDI portal

DLMF:13.14.E11 (Q5197)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:13.14.E11
No description defined

    Statements

    M κ , μ ( z e 2 m π i ) = ( - 1 ) m e 2 m μ π i M κ , μ ( z ) . Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 superscript 𝑒 2 𝑚 𝜋 imaginary-unit superscript 1 𝑚 superscript 𝑒 2 𝑚 𝜇 𝜋 imaginary-unit Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\kappa,\mu}\left(ze^{2m\pi\mathrm{i}}\right)=(% -1)^{m}e^{2m\mu\pi\mathrm{i}}M_{\kappa,\mu}\left(z\right).}}
    0 references
    M κ , μ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    C13.S14.E2.m2aedec
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aadec
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aidec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aadec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C13.S1.XMD1.m1dec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C13.S1.XMD6.m1jdec
    0 references

    Identifiers