Ome new theorems on generating functions and their applications on odd and even certain numbers attached to p and q parameters
Number Theory
2021-08-06 v1
Abstract
In this study, we first provide some new theorems by using the symmetrizing operator. After that, by using this theorems we introduce a new family of generating functions of odd and even terms of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q)-Jacobsthal numbers and (p,q)-Jacobsthal Lucas numbers. Then, we give the new generating functions of the products of these (p,q)-numbers with odd and even phrases of (p,q)-numbers.
Keywords
Cite
@article{arxiv.2108.02435,
title = {Ome new theorems on generating functions and their applications on odd and even certain numbers attached to p and q parameters},
author = {N. Saba and a. Boussayoud},
journal= {arXiv preprint arXiv:2108.02435},
year = {2021}
}