论文标题
平衡与卢卡斯平衡多项式之间的其他密切联系
Additional close links between balancing and Lucas-balancing polynomials
论文作者
论文摘要
使用生成功能,我们得出了许多涉及平衡和卢卡斯平衡多项式的身份。通过将这些多项式与第一类和第二类的Chebyshev多项式相关联,以及斐波那契和卢卡斯的数字,我们提供了一些涉及这些著名序列的新组合身份。
Using generating functions, we derive many identities involving balancing and Lucas-balancing polynomials. By relating these polynomials to Chebyshev polynomials of the first and second kind, and Fibonacci and Lucas numbers, we offer some presumably new combinatorial identities involving these famous sequences.