Generalization of a result of Hoggatt and Bergum on Fibonacci numbers
Morgado, José (1983-1984)
Portugaliae mathematica
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Morgado, José (1983-1984)
Portugaliae mathematica
Similarity:
Szalay, László (2007)
Annales Mathematicae et Informaticae
Similarity:
Morgado, José (1987)
Portugaliae mathematica
Similarity:
Morgado, José (1980)
Portugaliae mathematica
Similarity:
V. Losert (2005)
Acta Arithmetica
Similarity:
Alexey Stakhov (2012)
Visual Mathematics
Similarity:
Horadam, A.F., Shannon, A.G. (1987)
Portugaliae mathematica
Similarity:
Mohammad Farrokhi, D.G. (2009)
Integers
Similarity:
Horst Alzer, Florian Luca (2022)
Mathematica Bohemica
Similarity:
We extend an inequality for Fibonacci numbers published by P. G. Popescu and J. L. Díaz-Barrero in 2006.
Florian Luca, T. N. Shorey (2008)
Acta Arithmetica
Similarity:
Horadam, A.F. (1987)
Portugaliae mathematica
Similarity:
Clemens Fuchs, Robert F. Tichy (2003)
Acta Arithmetica
Similarity:
Marcin Acewicz, Karol Pąk (2017)
Formalized Mathematics
Similarity:
In this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equation x2 − Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically each remaining solution. “Solutions to Pell’s Equation” are listed as item #39 from the “Formalizing 100 Theorems” list maintained by Freek...
Ahmet Daşdemir (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Similarity:
To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.