On binomial transform of the generalized Jacobsthal-Padovan numbers

	On binomial transform of the generalized Jacobsthal-Padovan numbers
International Journal of Nonlinear Analysis and Applications
مقاله 51، دوره 14، شماره 1، فروردین 2023، صفحه 643-666 اصل مقاله (454.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24437.2743
نویسندگان
Yuksel Soykan¹؛ Erkan Taşdemir^* ²؛ Nejla Ozmen³
¹Zonguldak Bulent Ecevit University, Department of Mathematics, Art and Science Faculty, 67100, Zonguldak, Turkey
²Kirklareli University, Pinarhisar Vocational School, 39300, Kirklareli, Turkey
³Duzce University, Faculty of Art and Science, Department of Mathematics, 81620, Duzce, Turkey
چکیده
In this paper, we define the binomial transform of the generalized Jacobsthal-Padovan sequence and as special cases, the binomial transform of the Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan sequences will be introduced. We investigate their properties in details.
کلیدواژه‌ها
binomial transform؛ Jacobsthal-Padovan sequence؛ Jacobsthal-Padovan numbers؛ Jacobsthal-Perrin sequence؛ Jacobsthal-Perrin numbers؛ binomial transform of Jacobsthal-Padovan sequence؛ generalized Tribonacci sequence
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