论文标题
Bernoulli-fibonacci多项式
Bernoulli-Fibonacci Polynomials
论文作者
论文摘要
通过使用黄金导数,相应的黄金指数函数和纤维工艺系数的定义,我们引入了Bernoulli-fibonacci多项式和相关数字的生成功能。这些多项式和数字的属性与通常的Bernoulli对应物并行研究。斐波那契数和黄金比本质上与获得的公式有关。
By using definition of Golden derivative, corresponding Golden exponential function and Fibonomial coefficients, we introduce generating functions for Bernoulli-Fibonacci polynomials and related numbers. Properties of these polynomials and numbers are studied in parallel with usual Bernoulli counterparts. Fibonacci numbers and Golden ratio are intrinsically involved in formulas obtained.