Construction of generating functions of the products of Vieta polynomials with Gaussian numbers and polynomials

Author(s):

Souhila Boughaba , Nabiha Saba , Ali Boussayoud*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 , VietaPell polynomials , Gaussian numbers

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
649 to 668
https://www.magiran.com/p2261242