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 6,449 Downloads 12,217 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 6,158 Downloads 11,677 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 6,400 Downloads 12,355 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 6,897 Downloads 9,537 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 3,914 Downloads 5,380 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 643 Downloads 2,483 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 8,415 Downloads 11,577 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 5,899 Downloads 11,961 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 6,815 Downloads 9,658 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 3,530 Downloads 4,834 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 6,505 Downloads 7,949 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 612 Downloads 1,775 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 613 Downloads 1,439 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 3,355 Downloads 6,932 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 2,146 Downloads 3,071 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 828 Downloads 1,834 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 168 Downloads 708 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 6,109 Downloads 7,660 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 622 Downloads 2,039 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 662 Downloads 2,554 Views Citations

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