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Integration of Bessel functions

  • To: mathgroup at
  • Subject: [mg4648] Integration of Bessel functions
  • From: Thomas Stoeckli <thomas.stoeckli at>
  • Date: Thu, 22 Aug 1996 03:55:03 -0400
  • Sender: owner-wri-mathgroup at

Hi out there,

I need to evaluate the the following integral:

Integrate[Cos[ax] BesselI[m,bx],{x,0,xa}]

Does anyone know, if there is a primitive to it ?

I need to integrate this function for "a" fixed, but with "b" varying. 
I tried to evaluate it numerically, but for large b, I run into 
convergence problems. The best solution for me would be the indefinite 
integral, but I dont know, if it can be expressed in a simple manner. 
Does anyone out there know? I would be glad if you let me know.

The other solution would be the numerical integration. Does anyone 
know, how I could overcome the convergence problems for large "b".

Any help would be greatly appreciated. 
Thomas Stoeckli

Thomas Stoeckli                 Institut de Physique Experimentale 
Ph.D. Student                   DP EPFL, PHB-Ecublens / CH-1015 
tel: (+41 21) 693 44 04                
mailto:thomas.stoeckli at


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