Results 51 to 60 of about 267 (124)

Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics

, 2015
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Shurong Sun, Luisa Morgado, Jehad Alzabut, Ivanka Stamova   +3 more
wiley   +1 more source

Publisher Correction: Common terms of Leonardo and Jacobsthal numbers [PDF]

, 2023
Hayat Bensella, Djilali Behloul
openalex   +1 more source

Non-Fisherian generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +1 more source

On the (r, p, k)-Generalized Jacobsthal Numbers and the Jacobsthal Fundamental Fibonacci System

Trends in Computational and Applied Mathematics
The main goal of this paper is to study the model of the sequences of (r, p, k)-generalized Jacobsthal numbers, by the approach based on the properties of its associated Jacobsthal fundamental Fibonacci system and its fundamental sequence.
M. Rachidi, F. Yilmaz
doaj   +1 more source

On a new one-parameter generalization of dual-complex Jacobsthal numbers [PDF]

, 2021
Dorota Bród, Anetta Szynal‐Liana, Iwona Włoch   +2 more
openalex   +1 more source

On characteristic polynomial of higher order generalized Jacobsthal numbers

Advances in Difference Equations, 2019
In this paper, we study a higher order generalization of the Jacobsthal sequence, namely, the (k,c) $(k,c)$-Jacobsthal sequence (Jn(k,c)) $(J^{(k,c)}_{n})$ for any integers n, k≥2 $k\geq 2$ and a real number c>0 $c>0$.
Diego Marques, Pavel Trojovský
doaj   +1 more source

A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

Binomial Transforms of the Third-Order Jacobsthal and Modified Third-Order Jacobsthal Polynomials

Universal Journal of Mathematics and Applications
In this study, we define the binomial transforms of third-order Jacobsthal and modified third-order Jacobsthal polynomials. Further, the generating functions, Binet formulas and summation of these binomial transforms are found by recurrence relations ...
Gamaliel Morales
doaj   +1 more source

On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results
Anatriello Giuseppina, Vincenzi Giovanni
doaj   +1 more source

The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties

Journal of New Theory, 2021
In this study, new formulas for the nth power of (s,t)-Jacobsthal and (s,t)-Jacobsthal Lucas special matrix sequences are established by using determinant and trace of the matrices.
Şükran Uygun
doaj