论文标题
有或没有平衡多项式的更多斐波那酸贝尔努利关系
More Fibonacci-Bernoulli relations with and without balancing polynomials
论文作者
论文摘要
我们继续研究Bernoulli多项式和平衡（Lucas平衡）多项式之间的关系。从这些多项式关系中，我们通过斐波那契（Lucas）和伯努利数字推断出新的组合身份。此外，我们证明了涉及算术进展中伯努利多项式和斐波那契数的特殊身份。特殊情况和一些推论将突出我们发现的有趣方面。我们的结果补充并概括了Frontczak（2019）。
We continue our study on relationships between Bernoulli polynomials and balancing (Lucas-balancing) polynomials. From these polynomial relations, we deduce new combinatorial identities with Fibonacci (Lucas) and Bernoulli numbers. Moreover, we prove a special identity involving Bernoulli polynomials and Fibonacci numbers in arithmetic progression. Special cases and some corollaries will highlight interesting aspects of our findings. Our results complement and generalize these of Frontczak (2019).
