双周期不完全Lucas数
Bi-periodic incomplete Lucas numbers
摘要：
本文通过将双周期Lucas数表示为一个二项式和，引入了双周期不完全Lucas数。然后，利用双周期不完全Lucas数，得到了这类数的递推关系和生成函数，并研究了它们的一些性质。另外，作为本文的另一个主要结果，我们给出了双周期不完全Lucas数与双周期不完全斐波那契数之间的一些关系.
英文摘要：
In this paper, by presenting bi-periodic Lucas numbers as a binomial sum, we introduce the bi-periodic incomplete Lucas numbers. After that, by using the bi-periodic incomplete Lucas numbers, we derive the recurrence relation and the generating function of these numbers as well as investigated some properties over them. Additionally, as another main result of this paper, we give some relations between bi-periodic incomplete Lucas numbers and bi-periodic incomplete Fibonacci numbers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
