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August 17, 2021Kuwait Journal of Science11 citationsOpen Access

Symmetric and generating functions of generalized (p,q)-numbers

NSNabiha SabaABAli BoussayoudAAAbdelhamid Abderrezzak

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Abstract

In this paper, we will firstly define a new generalization of numbers (p, q) and then derive the appropriate Binet's formula and generating functions concerning (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. Also, some useful generating functions are provided for the products of (p,q)-numbers with bivariate complex Fibonacci and Lucas polynomials.

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Cite This Study

Saba et al. (2021) studied this question.

synapsesocial.com/papers/69fc6154cb800359c278d2b0https://doi.org/10.48129/kjs.v48i4.10074
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