Results 71 to 80 of about 717 (218)

Fractal holographic construct and the field theory of K. Lewin [PDF]

Национальный психологический журнал, 2018
Background. Key issues of approaches to the field theory of K. Levin within the nature (concept) of fractal and holographic construct are considered. At the beginning of the 20th century neopositivism, the newly-developed philosophical trend, proclaimed ...
Boris A. Bogatykh
doaj   +1 more source

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully, A. Al-Kateeb, Abdul Rauf Khan   +2 more
wiley   +1 more source

$\mathcal{H}$-Nacci Sequence and Its Role in Virus Mutation

Mathematics
In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation.
Muflih Alhazmi, Rexma Sherine Venchislas, Gerly Thaniel Gnanamuthu, Chellamani Perumal, Shreefa O. Hilali, Mashaer Alsaeedi, Avinash Natarajan, Britto Antony Xavier Gnanaprakasam   +7 more
doaj   +1 more source

Some problems related to the growth of z ( n ) $z(n)$

Advances in Difference Equations, 2020
Let ( F n ) n ≥ 0 $(F_{n})_{n\geq 0}$ be the Fibonacci sequence. The order of appearance z ( n ) $z(n)$ of a positive integer n is defined as z ( n ) : = min { k ≥ 1 : n ∣ F k } $z(n):= \min \{k\geq 1: n\mid F_{k}\}$ .
Pavel Trojovský
doaj   +1 more source

Computational Framework for Numerical Simulation of Fractional‐Order Financial Crime Model via Lucas Collocation Technique

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady, Homan Emadifar, Mehdi Hariri, Atallah El-Shenawy, Chong Lin   +4 more
wiley   +1 more source

A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras. It turns out that the computation of certain subdominant solutions of a higher order linear difference equation can be done more efficiently by considering its adjoint equation.
Hendrik Baumann, Thomas Hanschke, Arpan Hazra   +2 more
wiley   +1 more source

On the K-generalized Fibonacci matrix Qk

, 1997
The k-generalized Fibonacci sequence {g(k)n} is defined as follows: g(k)1 = … = g(k)k − 2 = 0, g(k)k − 1 = g(k)k = 1, and for n > k ⩾ 2, g(k)n = g(k)n − 1 + g(k)n − 2 + … g(k)n − k.
Lee, S.-G., Lee, G.-Y., Shin, H.-G.
core   +1 more source

Leonardo Cartan Numbers and Related Fibonacci–Lucas Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the Leonardo Cartan numbers, defined as an extension of the classical Leonardo sequence through additional algebraic structures. The recurrence relations of these numbers are established, and various summation formulas are derived.
Hasan Çakır, İskender Öztürk, Smritijit Sen   +2 more
wiley   +1 more source

On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]

Mathematica Bohemica
We consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis, Gersica Freitas, Alessandra Kreutz, Elaine Silva   +3 more
doaj   +1 more source

On the Fibonacci and the Generalized Fibonacci Sequence

Journal of Nepal Mathematical Society
Fibonacci numbers and their sequence are found abundantly in nature. There is a close relation among the Golden, Fibonacci, and Lucas ratios. Such ratios are inherent to design, architecture, construction, and even to the beauty of different natural and manmade solid objects.
openaire   +1 more source