In this paper, we will discuss the period length of the continued fraction of the product of a polynomial with a quadratic power series over a finite field. Furthermore, we will give the first example of bounded continued fraction in characteristic 3 with not flat partial quotients.
"On the multiplication by a polynomial of bounded continued fraction over a finite field." Bull. Belg. Math. Soc. Simon Stevin 25 (5) 777 - 792, december 2018. https://doi.org/10.36045/bbms/1547780435