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:28.20#Ex13 - MaRDI portal

DLMF:28.20#Ex13 (Q9057)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:28.20#Ex13
No description defined

    Statements

    M ν ( 3 ) ( z + s π i , h ) = - sin ( ( s - 1 ) π ν ) sin ( π ν ) M ν ( 3 ) ( z , h ) - e - i π ν sin ( s π ν ) sin ( π ν ) M ν ( 4 ) ( z , h ) , modified-Mathieu-M 3 𝜈 𝑧 𝑠 𝜋 imaginary-unit 𝑠 1 𝜋 𝜈 𝜋 𝜈 modified-Mathieu-M 3 𝜈 𝑧 superscript 𝑒 imaginary-unit 𝜋 𝜈 𝑠 𝜋 𝜈 𝜋 𝜈 modified-Mathieu-M 4 𝜈 𝑧 {\displaystyle{\displaystyle{\mathrm{M}^{(3)}_{\nu}}\left(z+s\pi\mathrm{i},h% \right)=-\dfrac{\sin\left({(s-1)\pi\nu}\right)}{\sin\left(\pi\nu\right)}{% \mathrm{M}^{(3)}_{\nu}}\left(z,h\right)-e^{-\mathrm{i}\pi\nu}\frac{\sin\left(s% \pi\nu\right)}{\sin\left(\pi\nu\right)}{\mathrm{M}^{(4)}_{\nu}}\left(z,h\right% ),}}
    0 references

    Identifiers