摘要

In this paper we define and study the k-order Gaussian Fibonacci and Lucas Numbers with boundary conditions. We identify and prove the generating functions, the Binet formulas, the summation formulas, matrix representation of k-order Gausian Fibonacci numbers and some significant relationships between k-order Gaussian Fibonacci and k-order Lucas numbers connecting with usual k-order Fibonacci numbers.

  • 出版日期2017-10