On the continued fraction expansions of some transcendental series in \mathbb{F}_{q}((T^{-۱}))

‎In this paper we describe the continued fraction expansions of certain infinite series over \mathbb{F}_{q}(T)‎, ‎where \mathbb{F}_{q} is a finite field with q elements‎. ‎As the first application‎, ‎we determine the continued fraction expansion of the sum of rational functions with exponential elements‎. ‎As the second application‎, ‎we exhibit the continued fraction expansions of many classes of transcendental series that have bounded partial quotients‎.

کلیدواژه ها:

‎Continued fraction‎ ، Formal power series‎ ، transcendance