Integration of Bessel functions
- To: mathgroup at smc.vnet.net
- Subject: [mg4648] Integration of Bessel functions
- From: Thomas Stoeckli <thomas.stoeckli at ipe.epfl.ch>
- Date: Thu, 22 Aug 1996 03:55:03 -0400
- Sender: owner-wri-mathgroup at wolfram.com
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
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______________________________________________________________________
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Thomas Stoeckli Institut de Physique Experimentale
(IPE)
Ph.D. Student DP EPFL, PHB-Ecublens / CH-1015
Lausanne
tel: (+41 21) 693 44 04
mailto:thomas.stoeckli at ipe.dp.epfl.ch
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