Proving the Relation for the First Kind Bessel Function: My Scientific Discovery

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prove the relation for the Bessel function of first kind
 

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have you started to attempt to do this?
if so show us how far you got
 
genericusrnme said:
have you started to attempt to do this?
if so show us how far you got

Is this ok? What shoud I do with integral and summ? Don't have an idea.
How to solve that integral?
 

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I did it.
 
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