Hyperbolic Fibonacci Functions - Articles - Scientific Research Publishing

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 10,336 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
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
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
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
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
On a Generalization of Einstein’s E = mc² (Articles)

Thalanayar S. Santhanam

Journal of Applied Mathematics and Physics Vol.6 No.5, May 22, 2018

DOI: 10.4236/jamp.2018.65088 999 Downloads 3,075 Views Citations
This article belongs to the Special Issue on Applications of Mathematical Theory and Equations in Physics
On the Telegrapher’s Equation with Three Space Variables in Non-Rectangular Coordinates (Articles)

Tristan Guillaume

Journal of Applied Mathematics and Physics Vol.8 No.5, May 20, 2020

DOI: 10.4236/jamp.2020.85070 622 Downloads 1,796 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 Algebra of Projective Spheres on Plane, Sphere and Hemisphere (Articles)

István Lénárt

Journal of Applied Mathematics and Physics Vol.8 No.10, October 30, 2020

DOI: 10.4236/jamp.2020.810171 812 Downloads 2,506 Views Citations
An Algorithm to Generalize the Pascal and Fibonacci Matrices (Articles)

Ilhan M. Izmirli

Applied Mathematics Vol.6 No.6, June 10, 2015

DOI: 10.4236/am.2015.66101 6,353 Downloads 7,852 Views Citations
Generalized Fibonacci Sequence: Possible Template for the Constants of Nature (Articles)

Sebastiano Tosto

Journal of Applied Mathematics and Physics Vol.7 No.12, December 12, 2019

DOI: 10.4236/jamp.2019.712214 1,141 Downloads 2,835 Views Citations
The Most Irrational Number that Shows up Everywhere: The Golden Ratio (Articles)

Jiwon Choi, Agegnehu Atena, Wondimu Tekalign

Journal of Applied Mathematics and Physics Vol.11 No.4, April 28, 2023

DOI: 10.4236/jamp.2023.114077 574 Downloads 13,760 Views Citations
A Sufficient Condition for the Primality of the Sum of Two Squares (Articles)

Han-Lin Li, Shu-Cherng Fang, Way Kuo

Advances in Pure Mathematics Vol.16 No.6, June 11, 2026

DOI: 10.4236/apm.2026.166022 37 Downloads 186 Views Citations
The Extended Tanh Method for Compactons and Solitons Solutions for the CH(n,2n – 1,2n,–n) Equations (Articles)

Xinqian Lin, Shengqiang Tang, Wentao Huang

Journal of Information Security Vol.3 No.3, July 25, 2012

DOI: 10.4236/jis.2012.33022 3,935 Downloads 6,965 Views Citations
Hyperbolic Coxeter Pyramids (Articles)

John Mcleod

Advances in Pure Mathematics Vol.3 No.1, January 29, 2013

DOI: 10.4236/apm.2013.31010 5,890 Downloads 8,628 Views Citations

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