Fibonacci and Lucas Numbers - Articles - Scientific Research Publishing

On the k–Lucas Numbers of Arithmetic Indexes (Articles)

Sergio Falcon

Applied Mathematics Vol.3 No.10, October 11, 2012

DOI: 10.4236/am.2012.310175 7,177 Downloads 10,556 Views Citations
Sums of Squares of Fibonacci Numbers with Prime Indices (Articles)

A. Gnanam, B. Anitha

Journal of Applied Mathematics and Physics Vol.3 No.12, December 18, 2015

DOI: 10.4236/jamp.2015.312186 3,766 Downloads 5,598 Views Citations
Relationships between Some k -Fibonacci Sequences (Articles)

Sergio Falcon

Applied Mathematics Vol.5 No.15, August 8, 2014

DOI: 10.4236/am.2014.515216 6,806 Downloads 8,898 Views Citations
Squares from D(–4) and D(20) Triples (Articles)

Zvonko Čerin

Advances in Pure Mathematics Vol.1 No.5, September 21, 2011

DOI: 10.4236/apm.2011.15052 3,619 Downloads 7,497 Views Citations
On the Norms of r-Toeplitz Matrices Involving Fibonacci and Lucas Numbers (Articles)

Hasan Gökbaş, Ramazan Türkmen

Advances in Linear Algebra & Matrix Theory Vol.6 No.2, June 2, 2016

DOI: 10.4236/alamt.2016.62005 2,361 Downloads 3,666 Views Citations
On the Norms of r-Hankel Matrices Involving Fibonacci and Lucas Numbers (Articles)

Hasan Gökbaş, Hasan Köse

Journal of Applied Mathematics and Physics Vol.6 No.7, July 10, 2018

DOI: 10.4236/jamp.2018.67117 1,069 Downloads 2,522 Views Citations
Non Degeneration of Fibonacci Series, Pascal’s Elements and Hex Series (Articles)

Balasubramani Prema Rangasamy

Advances in Pure Mathematics Vol.10 No.7, July 21, 2020

DOI: 10.4236/apm.2020.107024 780 Downloads 2,003 Views Citations
Chebyshev Polynomials with Applications to Two-Dimensional Operators (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.9 No.12, December 24, 2019

DOI: 10.4236/apm.2019.912050 851 Downloads 3,408 Views Citations
Some Sum Formulas of ( s , t )-Jacobsthal and ( s , t )-Jacobsthal Lucas Matrix Sequences (Articles)

Şükran Uygun

Applied Mathematics Vol.7 No.1, January 25, 2016

DOI: 10.4236/am.2016.71005 4,887 Downloads 6,883 Views Citations
Multi Parameters Golden Ratio and Some Applications (Articles)

Seyed Moghtada Hashemiparast, Omid Hashemiparast

Applied Mathematics Vol.2 No.7, July 5, 2011

DOI: 10.4236/am.2011.27108 6,254 Downloads 12,721 Views Citations
Do Planetary Transits Predict Synchronicity Experience? (Articles)

Robert G. Sacco

Journal of Behavioral and Brain Science Vol.13 No.3, March 10, 2023

DOI: 10.4236/jbbs.2023.133003 292 Downloads 2,563 Views Citations
Polynomial Generalizations and Combinatorial Interpretations for Sequences Including the Fibonacci and Pell Numbers (Articles)

Cecília Pereira de Andrade, José Plínio de Oliveira Santos, Elen Viviani Pereira da Silva, Kênia Cristina Pereira Silva

Open Journal of Discrete Mathematics Vol.3 No.1, January 29, 2013

DOI: 10.4236/ojdm.2013.31006 6,405 Downloads 10,335 Views Citations
Fibonacci Congruences and Applications (Articles)

René Blacher

Open Journal of Statistics Vol.1 No.2, August 1, 2011

DOI: 10.4236/ojs.2011.12015 5,094 Downloads 10,244 Views Citations
A History, the Main Mathematical Results and Applications for the Mathematics of Harmony (Articles)

A. P. Stakhov

Applied Mathematics Vol.5 No.3, February 11, 2014

DOI: 10.4236/am.2014.53039 8,739 Downloads 12,767 Views Citations
Winning Strategies and Complexity of Nim-Type Computer Game on Plane (Articles)

Boris S. Verkhovsky

International Journal of Communications, Network and System Sciences Vol.3 No.10, October 27, 2010

DOI: 10.4236/ijcns.2010.310106 6,355 Downloads 11,143 Views Citations
Occurrence of Fibonacci numbers in development and structure of animal forms: Phylogenetic observations and epigenetic significance (Articles)

John J. Wille

Natural Science Vol.4 No.4, April 24, 2012

DOI: 10.4236/ns.2012.44033 12,105 Downloads 19,819 Views Citations
Internal Merge: Why Does It Work This Way? A Matrix Syntactic Approach to Argument Chain (Articles)

Koji Arikawa

Open Journal of Modern Linguistics Vol.12 No.3, June 30, 2022

DOI: 10.4236/ojml.2022.123025 347 Downloads 2,623 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.1, January 30, 2011

DOI: 10.4236/am.2011.21009 6,860 Downloads 13,035 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry) (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.2, February 25, 2011

DOI: 10.4236/am.2011.22020 6,590 Downloads 12,577 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.3, March 24, 2011

DOI: 10.4236/am.2011.23033 6,741 Downloads 13,111 Views Citations

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