Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2

A NEW CLASS OF GENERATING FUNCTIONS OF BINARY PRODUCTS OF GAUSSIAN NUMBERS AND POLYNOMIALS

A NEW CLASS OF GENERATING FUNCTIONS OF BINARY PRODUCTS OF GAUSSIAN NUMBERS AND POLYNOMIALS

Souhila BOUGHABA, Ali BOUSSAYOUD, Mohamed KERADA LMAM

Sayfa
1240–1255
DOI
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Abstract

In this paper, we introduce a operator in order to derive some new symmetric properties of Gaussian Fibonacci numbers. By making use of the operator defined in this paper, we give some new generating functions for Gaussian Fibonacci numbers, Gaussian Lucas numbers, Gaussian Pell num- bers, Gaussian Pell Lucas numbers, Gaussian Jacobsthal numbers, Gaussian Jacobsthal polynomials, Gaussian Jacobsthal Lucas polynomials and Gaussian Pell polynomials.