Formula:4154

Digital Library of Mathematical Functions ID 10.23.E5

${\displaystyle{\displaystyle\sum_{k=0}^{n}J_{k}\left(z\right)J_{n-k}\left(z\right)+2\sum_{k=1}^{\infty}(-1)^{k}J_{k}\left(z\right)J_{n+k}\left(z\right)=J_{n}\left(2z\right).}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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