Can Green's Function Solve Poisson's Equation in Cylindrical Geometry?

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pfknapp
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Hey everyone,
first time poster. I am looking for a general solution to poisson's equation in a cylindrical geometry. By general, I am thinking of two concentric hollow cylinders of finite height, and the solution for the field using the green's function in between the two cylinders. With this kind of geometry one can take the limit as either the inner radius goes to zero or the outer radius goes to infinity and therby cover all your bases and have the solution everywhere. Let me know if you can help. I have general solutions for spherical and cartesian, but I can't seem to find one for cylindrical. Thanks everyone.
 
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What about polar coordinates?