Formula:4165

Digital Library of Mathematical Functions ID 10.23.E14

${\displaystyle{\displaystyle z^{\nu}f(z)=a_{0}J_{\nu}\left(z\right)+2\sum_{k=1}^{\infty}a_{k}J_{\nu+k}\left(z\right)}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle a_{k}}}$: 10.23.E11
• ${\displaystyle{\displaystyle f(t)}}$: f ( t )
 

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