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arXiv · 2108.02435

Ome new theorems on generating functions and their applications on odd and even certain numbers attached to p and q parameters

N. Saba·a. Boussayoud
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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.

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N. Saba, a. Boussayoud. 2021-08-05. Ome new theorems on generating functions and their applications on odd and even certain numbers attached to p and q parameters. https://arxiv.org/abs/2108.02435

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