Is There an Analytical Solution to the Transcendental Equation x = cot(x)?

[twoflower]

Hi,

can somebody see if there is a way to solve this analytically?

$$x = \mbox{cotg } x$$

I know it could be solved numerically, but I'm interested in analytical solution only (if it exists, of course).

Thank you very much.

 

[Tide]

Sorry - none exist! :(