Hyperbolic Fibonacci and Lucas Functions - Articles

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 6,859 Downloads 13,029 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 6,587 Downloads 12,563 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 6,739 Downloads 13,156 Views Citations
Hilbert’s Fourth Problem: Searching for Harmonic Hyperbolic Worlds of Nature (Articles)

A. P. Stakhov

Journal of Applied Mathematics and Physics Vol.1 No.3, September 24, 2013

DOI: 10.4236/jamp.2013.13010 7,219 Downloads 10,337 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 3,403 Views Citations
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World (Articles)

Alexey Stakhov, Samuil Aranson

Journal of Applied Mathematics and Physics Vol.2 No.7, June 13, 2014

DOI: 10.4236/jamp.2014.27056 4,109 Downloads 6,122 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 8,736 Downloads 12,751 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 12,714 Views Citations
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 7,175 Downloads 10,543 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 5,591 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 6,803 Downloads 8,889 Views Citations
The Power Integrations of Trigonometric and Hyperbolic Functions (Articles)

Ahmed M. Ali, Omar M. Abd-Alkanee

Open Access Library Journal Vol.6 No.8, August 29, 2019

DOI: 10.4236/oalib.1105618 749 Downloads 2,459 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 1,998 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 3,615 Downloads 7,488 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 2,360 Downloads 3,663 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 1,066 Downloads 2,511 Views Citations
Lucas Symbolic Formulae and Generating Functions for Chebyshev Polynomials (Articles)

Do Tan Si

Journal of High Energy Physics, Gravitation and Cosmology Vol.7 No.3, June 25, 2021

DOI: 10.4236/jhepgc.2021.73052 299 Downloads 1,181 Views Citations
The Summation of One Class of Infinite Series (Articles)

Jonathan D. Weiss

Applied Mathematics Vol.5 No.17, October 28, 2014

DOI: 10.4236/am.2014.517269 6,375 Downloads 8,374 Views Citations
Frobenius Series Solutions of the Schrodinger Equation with Various Types of Symmetric Hyperbolic Potentials in One Dimension (Articles)

Hippolyte Nyengeri, René Simbizi, Audace Girukwishaka, Rénovat Nizigiyimana, Eugène Ndenzako

Open Access Library Journal Vol.5 No.7, July 26, 2018

DOI: 10.4236/oalib.1104728 768 Downloads 2,822 Views Citations
Application of the Frobenius Method to the Schrodinger Equation for a Spherically Symmetric Hyperbolic Potential (Articles)

Hippolyte Nyengeri, Rénovat Nizigiyima, Eugène Ndenzako, Félix Bigirimana, Dieudonné Niyonkuru, Audace Girukwishaka

Open Access Library Journal Vol.5 No.10, October 29, 2018

DOI: 10.4236/oalib.1104950 865 Downloads 3,350 Views Citations

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