McLaughlin, James on Wed, 03 Aug 2011 18:12:02 +0200

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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?


Jimmy Mc Laughlin