June 2021 A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers
Souhila Boughaba, Ali Boussayoud, Nabiha Saba, Kasi Viswanadh V. Kanuri
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Tbilisi Math. J. 14(2): 221-237 (June 2021). DOI: 10.32513/tmj/19322008135

Abstract

In this study, we introduce a new family of generating functions of products of bivariate complex Fibonacci polynomials with Gaussian Fibonacci numbers, Gaussian Lucas numbers, Gaussian Jacobsthal numbers, Gaussian Jacobsthal Lucas numbers, Gaussian Pell numbers and Gaussian Pell Lucas numbers.

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Souhila Boughaba. Ali Boussayoud. Nabiha Saba. Kasi Viswanadh V. Kanuri. "A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers." Tbilisi Math. J. 14 (2) 221 - 237, June 2021. https://doi.org/10.32513/tmj/19322008135

Information

Received: 21 November 2020; Accepted: 12 February 2021; Published: June 2021
First available in Project Euclid: 2 July 2021

MathSciNet: MR4298945
zbMATH: 1487.05267
Digital Object Identifier: 10.32513/tmj/19322008135

Subjects:
Primary: 05E05
Secondary: 11B39

Keywords: bivariate complex Fibonacci polynomials , Gaussian Fibonacci numbers , generating functions , symmetric functions

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 2 • June 2021
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