有关Fibonacci数和Lucas数的几个恒等式

Some identities involving Fibonacci Numbers and Lucas Numbers

利用母函数的方法,研究了以Fibonacci数和Lucas数为系数的指母生成函数,揭示了Fibonacci数和Lucas数之间的内在联系,得到了几个关于Fibonacci数和Lucas数的有趣的恒等式.

The Fibonacci Numbers and Lucas Numbers were studied, some identical relations about them were obtained by the method of generating function.