Solutions of a generalized markoff equation in Fibonacci numbers

Autor:	Hayder Raheem Hashim, Szabolcs Tengely
Rok vydání:	2020
Předmět:	010101 applied mathematics Pure mathematics Fibonacci number General Mathematics 010102 general mathematics 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Mathematica Slovaca. 70:1069-1078
ISSN:	1337-2211 0139-9918
DOI:	10.1515/ms-2017-0414
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::97cdbf6408f2416fb7dac8e16c490908 https://doi.org/10.1515/ms-2017-0414 Zobrazit plný text záznamu