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On the continued fraction expansions of some transcendental series in F_q((T^{−1})) | ||
Journal of Algebra and Related Topics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 دی 1403 | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2025.28559.1718 | ||
نویسندگان | ||
S. BELDI* ؛ F. Taktak | ||
Sfax University, Faculty of Sciences, Lab AGTS, Tunisia | ||
چکیده | ||
In this paper we describe the continued fraction expansions of certain infinite series over Fq(T), where Fq 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. | ||
کلیدواژهها | ||
Continued fraction؛ formal power series؛ transcendance | ||
آمار تعداد مشاهده مقاله: 57 |