Open AccessGENERATING FUNCTIONS OF EVEN AND ODD GAUSSIAN NUMBERS AND POLYNOMIALS
Author(s) -
Nabiha Saba,
Ali Boussayoud,
Mohamed Kerada
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.1-a12
Subject(s) - gaussian , mathematics , fibonacci polynomials , combinatorics , lucas number , generating function , discrete mathematics , fibonacci number , orthogonal polynomials , classical orthogonal polynomials , physics , quantum mechanics
In this study, we introduce a new class of generating functions of odd and even Gaussian (p,q)-Fibonacci numbers, Gaussian (p,q)-Lucas numbers, Gaussian (p,q)-Pell numbers, Gaussian (p,q)-Pell Lucas numbers, Gaussian Jacobsthal numbers and Gaussian Jacobsthal Lucas numbers and we will recover the new generating functions of some Gaussian polynomials at odd and even terms. The technique used her is based on the theory of the so called symmetric functions.