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 -- ______________________________________________________________________ __ 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 ==== [MESSAGE SEPARATOR] ====