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:10.21.E6 - MaRDI portal

DLMF:10.21.E6 (Q3980)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:10.21.E6
No description defined

    Statements

    DLMF defining formula
    𝒞 ν ⁡ ( σ ν ) = σ ν ν ⁢ 𝒞 ν - 1 ⁡ ( σ ν ) = σ ν ν ⁢ 𝒞 ν + 1 ⁡ ( σ ν ) . cylinder-function 𝜈 subscript 𝜎 𝜈 subscript 𝜎 𝜈 𝜈 cylinder-function 𝜈 1 subscript 𝜎 𝜈 subscript 𝜎 𝜈 𝜈 cylinder-function 𝜈 1 subscript 𝜎 𝜈 {\displaystyle{\displaystyle\mathscr{C}_{\nu}\left(\sigma_{\nu}\right)=\frac{% \sigma_{\nu}}{\nu}\mathscr{C}_{\nu-1}\left(\sigma_{\nu}\right)=\frac{\sigma_{% \nu}}{\nu}\mathscr{C}_{\nu+1}\left(\sigma_{\nu}\right).}}
    0 references
    Symbols used
    cylinder function
    DLMF defining formula
    𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.Px5.p1.m3abdec
    0 references
    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1ddec
    0 references
    zero of cylinder function
    DLMF defining formula
    σ ν ⁢ ( t ) subscript 𝜎 𝜈 𝑡 {\displaystyle{\displaystyle\sigma_{\nu}(t)}}
    xml-id
    C10.S21.XMD2.m1dec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q3980&oldid=24171981"
    Powered by MediaWiki