On the Incomplete ( p, q)−Fibonacci and ( p, q)− Lucas Numbers

Orhan Dis¸kaya; Hamza Menken

On the Incomplete ( p, q)−Fibonacci and ( p, q)− Lucas Numbers

Authors

Orhan Dis¸kaya
Hamza Menken

Keywords:

Fibonacci numbers; Lucas numbers; generating function. 2020 Mathematics Subject Classification. 11B39; 11B83; 05A15.

Abstract

In this present work, the incomplete ( p, q)−Fibonacci and ( p, q)−Lucas numbers are defined. We examine their recurrence
relations as well as some of their properties. We derive their generating functions.

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Published

2024-09-12

How to Cite

Dis¸kaya, O., & Menken, H. (2024). On the Incomplete ( p, q)−Fibonacci and ( p, q)− Lucas Numbers. Jordan Journal of Mathematics and Statistics, 17(2). Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/373