Results 111 to 120 of about 973 (216)

A Comprehensive Survey of Dual Generalized Complex Fibonacci Numbers

, 2020
The aim of this paper is to develop dual-generalized complex Fibonacci numbers, special type of Horadam sequence. Moreover, the general recurrence relations of dual-generalized complex Fibonacci and Lucas numbers are obtained.
Şentürk, Gülsüm Yeliz, Gürses, Nurten, Yüce, Salim   +2 more
core  

Some q-binomial identities involving the generalized q-Fibonacci numbers [PDF]

, 2018
In this paper, starting from the shifting property for the ordinary Fibonacci and q-Fibonacci numbers, we obtain some combinatorial identities involving the generalized Fibonacci and q-Fibonacci numbers of the first and second kind, and for the q ...
E. Munarini
core  

New Properties and Matrix Representations on Higher-Order Generalized Fibonacci Quaternions with q-Integer Components

Axioms
In this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions.
Can Kızılateş, Wei-Shih Du, Nazlıhan Terzioğlu, Ren-Chuen Chen   +3 more
doaj   +1 more source

Combined Pseudo-Random Sequence Generator for Cybersecurity. [PDF]

Sensors (Basel), 2022
Maksymovych V, Shabatura M, Harasymchuk O, Shevchuk R, Sawicki P, Zajac T.   +5 more
europepmc   +1 more source

On Generalized Metallic Leonardo Numbers: Silver, Bronze, and Copper Cases

Universal Journal of Mathematics and Applications
In this article, we discuss three new extensions of the Leonardo numbers in a generalized way, which we call the generalized Silver, Bronze, and Copper Leonardo numbers that converge to the Silver, Bronze, and Copper ratios, unifying existing metallic ...
Munesh Kumari, Kalika Prasad, Mritunjay Kumar Singh   +2 more
doaj   +1 more source

Number theory, borderline dimension and extensive entropy in distributions of ranked data. [PDF]

PLoS One, 2022
Velarde C, Robledo A.
europepmc   +1 more source

Alternating sums of reciprocal generalized Fibonacci numbers. [PDF]

Springerplus, 2014
Kuhapatanakul K.
europepmc   +1 more source

Image Encryption Using Quantum 3D Mobius Scrambling and 3D Hyper-Chaotic Henon Map. [PDF]

Entropy (Basel), 2023
Wang L, Ran Q, Ding J.
europepmc   +1 more source

Closed forms for certain fibonacci type sums that involve second order products [PDF]

, 2017
In this paper, we present closed forms for certain finite sums in which the summand is a product of generalized Fibonacci numbers. We present our results in the form of six theorems that feature a generalized Fibonacci sequence {Wn}, and an accompanying ...
Melham, RS
core  

Tunable multichannel Fibonacci one-dimensional terahertz photonic crystal filter. [PDF]

Sci Rep, 2023
Sepahvandi V, Rezaei B, Aly AH.
europepmc   +1 more source