Bessel Function Summation: Jo(x+y)

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Homework Statement



Show that Jn(x+y) = ∑ Jr(x)Jn-r(y) ; where (Jn)= bessel function , ∑ varies from

(-to+)infinity for r

Jo(x+y) = Jo(x)Jo(y) +2 ∑ Jr(x)J-r(y) ∑ varies from (1 to infinity) for r

Homework Equations





The Attempt at a Solution



I have solved the first one using generating function but am not able to arivve at a sloution for 2nd .
 
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