Formula:4170

Digital Library of Mathematical Functions ID 10.23.E19

${\displaystyle{\displaystyle a_{m}=\frac{2}{(J_{\nu+1}\left(j_{\nu,m}\right))^{2}}\int_{0}^{1}tf(t)J_{\nu}\left(j_{\nu,m}t\right)\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle\nu\geq-\tfrac{1}{2}}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle j_{\NVar{\nu},\NVar{m}}}}$:
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle a_{k}}}$: 10.23.E11
• ${\displaystyle{\displaystyle f(t)}}$: f ( t )
 

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