On the Incomplete (p,q)−Fibonacci and (p,q)−Lucas Numbers | Synapse
March 1, 2026Open Access
On the Incomplete (p,q)−Fibonacci and (p,q)−Lucas Numbers
Puntos clave
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.
Resumen
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.