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Question: How to know this ration function is exponential or ordinary generating function

Question:How to know this ration function is exponential or ordinary generating function

Ex 95 Maple
gfun
November 19 2012
0

eqn := y^2 = x^3 + a*x  + b

where a and b are summation of things, or constant

if use convert(eqn, ratpoly) to get a ratpoly

 

can it be used to guess gf using guessgf directly?

or

convert ratpoly to differential equation and then calculate eigenfunction and calculate generating function?
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