Bell polynomials for computing closed formulae of numbers and polynomials

	Bell polynomials for computing closed formulae of numbers and polynomials
Caspian Journal of Mathematical Sciences
دوره 13، شماره 2 - شماره پیاپی 26، 2024، صفحه 246-262 اصل مقاله (154.41 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2024.23197.1621
نویسنده
Goubi Mouloud^*
Department of Mathematics Faculty of Sciences UMMTO University, Tizi ouzou, Algeria
تاریخ دریافت: 07 اسفند 1400، تاریخ بازنگری: 30 مهر 1403، تاریخ پذیرش: 13 آبان 1403
چکیده
Exponential partial Bell polynomials are a main tool for computing explicit formula for a large family of numbers and polynomials. Using these polynomials, we review most of the polynomials already studied in the book of Djordjevic-Milovanovic (2014). This study allows to unify the writing of these polynomials and obtain other extensions. Consequently the obtained results find their application in Number Theory; notably for the arithmetical properties of power products, Fermat numbers, Mersenne numbers and Fermat Last Theorem.
کلیدواژه‌ها
Exponential partial Bell polynomials؛ Bell polynomials, Cauchy product, Fermat Last Theorem, Fermat and Mersenne numbers

آمار تعداد مشاهده مقاله: 216 تعداد دریافت فایل اصل مقاله: 240

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