Formula:3824

Digital Library of Mathematical Functions ID 10.13.E1

${\displaystyle{\displaystyle w^{\prime\prime}+\left(\lambda^{2}-\frac{\nu^{2}-\tfrac{1}{4}}{z^{2}}\right)w=0,}}$

Constraint(s)

${\displaystyle{\displaystyle w=z^{\frac{1}{2}}\mathscr{C}_{\nu}\left(\lambda z\right)}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: cylinder function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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