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.
BELDI, S. and Taktak, F. (2025). On the continued fraction expansions of some transcendental series in $\mathbb{F}_{q}((T^{-1}))$. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2025.28559.1718
MLA
BELDI, S. , and Taktak, F. . "On the continued fraction expansions of some transcendental series in $\mathbb{F}_{q}((T^{-1}))$", Journal of Algebra and Related Topics, , , 2025, -. doi: 10.22124/jart.2025.28559.1718
HARVARD
BELDI, S., Taktak, F. (2025). 'On the continued fraction expansions of some transcendental series in $\mathbb{F}_{q}((T^{-1}))$', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2025.28559.1718
CHICAGO
S. BELDI and F. Taktak, "On the continued fraction expansions of some transcendental series in $\mathbb{F}_{q}((T^{-1}))$," Journal of Algebra and Related Topics, (2025): -, doi: 10.22124/jart.2025.28559.1718
VANCOUVER
BELDI, S., Taktak, F. On the continued fraction expansions of some transcendental series in $\mathbb{F}_{q}((T^{-1}))$. Journal of Algebra and Related Topics, 2025; (): -. doi: 10.22124/jart.2025.28559.1718
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