Formula:10364

Digital Library of Mathematical Functions ID 33.20.E4

${\displaystyle{\displaystyle{\sf F}_{k}(\ell;r)=\sum_{p=2k}^{3k}(2r)^{(p+1)/2}C_{k,p}J_{2\ell+1+p}\left(\sqrt{8r}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle r>0}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle r}}$: real variable
• ${\displaystyle{\displaystyle\mathsf{F}_{k}(\ell;r)}}$: coefficient
• ${\displaystyle{\displaystyle C_{k,p}}}$: coefficients
 

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