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I arrived at the solution for a electric potential problem for a semi-infinite cylinder (there was a potential distribution given for the boundary conditions but that's not important here).

http://i210.photobucket.com/albums/bb283/DidgeFrank/Cylinder_pot.jpg

The solution is equation (1). You have to use the Bessel functions of first order and there is a parameter λ

_{n}appearing (equation (2)). My problem is how to calculate the various λ

_{n}values. I know it must work with an iterative procedure. I am especially interested in a Mathematica procedure to do this.

Thanks in advance for some helpful hints,

OMN