Symmetric and Generating Functions of Generalized (p,q)-Numbers

Authors

  • Nabiha Saba LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Ali Boussayoud LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Abdelhamid Abderrezzak University of Paris 7LITP, Place Jussieu Paris cedex 05, France

DOI:

https://doi.org/10.48129/kjs.v48i4.10074

Keywords:

Symmetric functions, Generating functions, Generalized (p, q)-numbers, (p, q)-Pell numbers, q)-Jacobsthal numbers, Bivariate complex Fibonacci polynomials

Abstract

In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions 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. After that, we give some new generating functions for product of (p,q)-numbers with bivariate complex Fibonacci and Lucas polynomials.

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Published

16-08-2021