Solutions of a generalized markoff equation in Fibonacci numbers

Author:

Hashim Hayder Raheem1,Tengely Szabolcs1

Affiliation:

1. Institute of Mathematics , University of Debrecen , P. O. Box 400, 4002 , Debrecen , Hungary

Abstract

Abstract In this paper, we find all the solutions (X, Y, Z) = (FI , FJ , FK ), where FI , FJ , and FK represent nonzero Fibonacci numbers, satisfying a generalization of Markoff equation called the Jin-Schmidt equation: AX 2 + BY 2 + CZ 2 = DXYZ + 1.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Solutions of the Lucas Sequence Equation ±1Vn(P2,Q2)=∑∞k=1Uk−1(P1,Q1)xk;Malaysian Journal of Mathematical Sciences;2024-06-27

2. Solutions of the Markoff equation in Tribonacci numbers;Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti;2023

3. Bartz-Marlewski equation with generalized Lucas components;Archivum Mathematicum;2022

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