ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Positive Integer Solutions of Some Pell Equations via Generalized Bi-Periodic Fibonacci and Generalized Bi-Periodic Lucas Sequences

Journal: International Journal of Science and Research (IJSR) (Vol.11, No. 8)

Publication Date:

Authors : ; ;

Page : 1050-1053

Keywords : Continued fraction; Pell equations; Generalized Bi-Periodic Fibonacci and Lucas sequences;

Source : Downloadexternal Find it from : Google Scholarexternal

Abstract

Let C be a non-perfect square positive-integer and C=m^2?1,m^2?2,m^2?m. The basic solution of the Pell equation is found in the present articlex^2-Cy^2=?1by using Continued fraction expansion of ?C. Also, in terms of Generalized Bi-Periodic Fibonacci and Lucas sequences, we obtain all positive-integer solutions of the Pell equation x^2-Cy^2=?1.

Last modified: 2022-09-07 15:21:04