RE: Bessel Functions

["McLaughlin, James" <jmclaughlin@wcupa.edu>]

Please ignore the first part of the question - found the besselj(nu,x) command after a web search, so i can modify that.
________________________________________
From: McLaughlin, James [jmclaughlin@wcupa.edu]
Sent: Wednesday, August 03, 2011 11:56 AM
To: pari-users@list.cr.yp.to
Subject: Bessel Functions

Good Day All,

Is there an implementation of the Bessel function of the first kind, I_n(z),  in Pari/gp?

Also, how do I convert a rational function to a power series of arbitrarily high degree?
taylor(1/(1-x),x), for example,  returns
1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12
 + x^13 + x^14 + x^15 + O(x^16)

How can I get an expansion up to, say, x^500?

Thanks,

Jimmy Mc Laughlin