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Bessel Series without Boundary Conditions

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glenjoy

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Can someone help in solving this Bessel series of given order v = 1?

This one has no boundary condition.

You can also give me a reference with good example.

Thanks.

Here is the problem:

Code:
  f(x)  =   0      ,  0 < x < 1/2 
        =   1/x   ,  1/2 < x < 1
 

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