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Research Paper | Mathematics | India | Volume 11 Issue 8, August 2022
Positive Integer Solutions of Some Pell Equations via Generalized Bi-Periodic Fibonacci and Generalized Bi-Periodic Lucas Sequences
S. Sriram | P. Veeramallan
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.
Keywords: Continued fraction, Pell equations, Generalized Bi-Periodic Fibonacci and Lucas sequences
Edition: Volume 11 Issue 8, August 2022,
Pages: 1050 - 1053