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 6,717 Downloads 12,753 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 6,422 Downloads 12,226 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 6,617 Downloads 12,885 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 7,082 Downloads 10,025 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 4,039 Downloads 5,844 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 788 Downloads 3,149 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 8,588 Downloads 12,311 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 6,127 Downloads 12,479 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 7,053 Downloads 10,238 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 3,672 Downloads 5,311 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 6,688 Downloads 8,578 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 710 Downloads 1,815 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 698 Downloads 2,249 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 3,490 Downloads 7,211 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 2,254 Downloads 3,428 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 951 Downloads 2,238 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 248 Downloads 990 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 6,251 Downloads 8,096 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 703 Downloads 2,518 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 795 Downloads 3,052 Views Citations

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