DLMF:10.13.E11

MaRDI QIDQ3834

• Label: DLMF:10.13.E11

Digital Library of Mathematical Functions ID 10.13.E11

${\displaystyle{\displaystyle\left(\vartheta^{4}-2(\nu^{2}+\mu^{2})\vartheta^{2}+(\nu^{2}-\mu^{2})^{2}\right)w+4z^{2}(\vartheta+1)(\vartheta+2)w=0,}}$

Constraint(s)

${\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{\mu}(z).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: cylinder function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle\vartheta=z(\ifrac{\mathrm{d}}{\mathrm{d}z})}}$: complex variable
• ${\displaystyle{\displaystyle\mathscr{D}_{\nu}(z)}}$: cylinder function
 

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