Updates:
        Labels: Series

Comment #4 on issue 4125 by [email protected]: Issues with Bessel functions
http://code.google.com/p/sympy/issues/detail?id=4125

3) lambdify has trouble with Bessel functions when running a script.

Is there besselj function in numpy? I don't think so. In that case, this is not a bug.

limit(x*diff(y1,x,x)/y1,x,.1).evalf()

I assume, that's typo and you are talking about:
limit(x*diff(y1,x,x)/y1, x, 0)

Yes, this fails. We should implement series expansions for besselk/besseli around 0.

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