What is the domain of Bessel function J1(x)?

vigintitres
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Homework Statement



so, without typing the whole thing (because I do not know how to use any LaTeX or similar program) what is the domain for the Bessel function J(sub 1)(x) = ...

Homework Equations



I am to understand that taking the derivative of this monster will give me some kind of answer, but I do not know what this answer means or why I should be getting it via the derivative of the Bessel function

The Attempt at a Solution



ahhhhhh...no
 
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Are you using the taylor series definition of the bessel function? If so, then write out some terms and think where it might be undefined and what it's radius of convergence is. You don't HAVE to use TeX to communicate what you mean but it helps. Find a post that used TeX and click on the TeX and you can see how they did it. Otherwise be creative with text. You have to do something, '...' is not very expressive. There is a large variety of ways to describe bessel functions.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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