- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 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
Authors : Souhila Boughaba, Ali Boussayoud, Mohamed Kerada
Pages : 1240-1255
Doi:10.31801/cfsuasmas.597653
View : 9 | Download : 5
Publication Date : 2020-12-31
Article Type : Research
Abstract :In this paper, we introduce a operator in order to derive some new symmetric properties of Gaussian Fibonacci numbers and Gaussian Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions for Gaussian Fibonacci numbers and Gaussian Jacobsthal polynomials. In the paper Al4, Al5, a second-order linear recurrence sequence (U_{n}(a,b;p,q))_{n≥0} or briefly (U_{n})_{n≥0} is considered by the recurrence relation: U_{n+2}=pU_{n+1}+qU_{n}, with the initial conditions U₀=a and U₁=b, where a,b∈ℂ and p,q∈ℤ₊ for n≥0.Keywords : Symmetric functions, generating functions, Gaussian Fibonacci numbers, Gaussian Lucas numbers