Question: Hypergeom to BesselJ

Hi All,

 

I tried to convert the following hypergeometric function into BesselJ function. But I failed to do so. Could any one let me know the  reference or procedure to convert the Hypergeom function into bessel function.

 

Following is the integral I am intended to do.

Result:

I need to convert the result into equivalent bessel function.

 

If at all there is a way to co-relate the generalized corelation between bessel function <-> hypergeom function.

 

Direct me to any books you come across.

 

Thanks

 

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