On the Incomplete (p,q)−Fibonacci and (p,q)−Lucas Numbers
Key Points
The aim is to define incomplete (p,q)-Fibonacci and (p,q)-Lucas numbers and explore their characteristics.
Defined the incomplete (p,q)-Fibonacci and (p,q)-Lucas numbers.
Examined their recurrence relations.
Derived their generating functions.
Identified properties of the incomplete (p,q)-Fibonacci and (p,q)-Lucas numbers.
Established the recurrence relations for both sets of numbers.
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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