Bill Allombert on Fri, 05 Aug 2005 14:28:15 +0200 |
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contfrac for power series |
Hello PARI-dev, I would like to extend contfrac (and bestappr and algdep) to handle approximation of rational and algebraic functions by power series. However there is a semantic mismatch: Theses functions handle rational functions according to the topology defined by the degree (X^-n go to 0), while we can only handle power series according to the valuation (X^n go to 0). This means we have to do subst(truncate(S),x,1/x) to convert meaningfully power series to rational functions. For example the meaningful result for contfrac(1/x+2*x+O(x^2)) should be [1/x,1/(2*x)] but contfrac returns [2*x,x] because it truncate the series. Cheers, Bill