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 6,963 Downloads 9,659 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 3,967 Downloads 5,524 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 6,575 Downloads 12,427 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 6,270 Downloads 11,840 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 6,487 Downloads 12,530 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 8,496 Downloads 11,819 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 654 Downloads 1,883 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 6,169 Downloads 7,778 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 649 Downloads 2,149 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 709 Downloads 2,689 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 859 Downloads 2,474 Views Citations
This article belongs to the Special Issue on Applications of Mathematical Theory and Equations in Physics
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 712 Downloads 2,688 Views Citations
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 452 Downloads 1,258 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 6,168 Downloads 7,327 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 880 Downloads 2,035 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 552 Downloads 1,723 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 368 Downloads 10,027 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 3,771 Downloads 6,480 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 5,725 Downloads 7,992 Views Citations
Fibonacci Sequence Found in Parkfield Earthquake (Articles)

Guangmeng Guo

International Journal of Geosciences Vol.12 No.1，January 11, 2021

DOI: 10.4236/ijg.2021.121001 564 Downloads 1,709 Views Citations

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