Title of article :
Construction of generating functions of the products of Vieta polynomials with Gaussian numbers and polynomials
Author/Authors :
Boughaba, Souhila LMAM Laboratory and Department of Mathematics - Mohamed Seddik Ben Yahia University, Jijel, Algeria. , Saba, Nabiha LMAM Laboratory and Department of Mathematics - Mohamed Seddik Ben Yahia University, Jijel, Algeria. , Boussayoud, Ali LMAM Laboratory and Department of Mathematics - Mohamed Seddik Ben Yahia University, Jijel, Algeria.
Abstract :
In the present paper, we introduce the recurrence relations of Vieta Fibonacci, Vieta Lucas, Vieta Pell and Vieta Pell Lucas polynomials. We obtain the generating functions of these polynomials, then we give the new generating functions of the products of these polynomials and the products of these polynomials with Gaussian numbers and polynomials. These results are based on the relation between Vieta polynomials and Chebyshev polynomials of first and second kinds.
Keywords :
Generating functions , Vieta Fibonacci polynomials , Vieta Lucas polynomials , Vieta Pell polynomials , Gaussian numbers
Journal title :
International Journal of Nonlinear Analysis and Applications
