An algorithmic method is proposed to generate all cubic polynomials with a critical orbit relation. We generate curves (polynomials of parameters) that correspond to those functions with critical orbit relations. The irreducibility of the polynomials obtained is left as an open problem. Our approach also works to generate critical orbit relations in all families of rational functions with active critical points.
Generating Special Curves for Cubic Polynomials / Mamayusupov, Khudoyor; Çilingir, Figen; Ruziboev, Marks; Ibragimov, Gafurjan; Pansera, Bruno Antonio. - In: MATHEMATICS. - ISSN 2227-7390. - 13:3(2025). [10.3390/math13030401]
Generating Special Curves for Cubic Polynomials
Pansera, Bruno Antonio
2025-01-01
Abstract
An algorithmic method is proposed to generate all cubic polynomials with a critical orbit relation. We generate curves (polynomials of parameters) that correspond to those functions with critical orbit relations. The irreducibility of the polynomials obtained is left as an open problem. Our approach also works to generate critical orbit relations in all families of rational functions with active critical points.| File | Dimensione | Formato | |
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Pansera_2025_Mathematics_Polynomials_editor.pdf
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