Mathematica: Is there a way to automate the generation of these polynomials?

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Is there a way to automate the generation of these polynomials?
I hope you found a solution that worked for you :)
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Thanks to all those great people for their contributions!

(mathematica.stackexchange.com/users/8060/claude-leibovici)Claude Leibovici
(mathematica.stackexchange.com/users/62063/a-kato)A. Kato
A special thanks goes out to the (mathematica.stackexchange.com/questions/312488/is-there-a-way-to-automate-the-generation-of-these-polynomials)Stackexchange community

I wish you all a wonderful day! Stay safe :)
If anything is off, please write me at peter D.O.T schneider A.T ois42.de

asymptotics equation-solving polynomials




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