Results 31 to 40 of about 145 (136)

On generalized bihyperbolic third-order Jacobsthal polynomials [PDF]

Mathematica Bohemica
A new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given. A general Vajda formula for the generalized bihyperbolic third-order Jacobsthal polynomials is obtained ...
Gamaliel Cerda-Morales
doaj   +1 more source

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
doaj   +1 more source

On the Norms of r−Hankel and r−Toeplitz Matrices

Mathematical Problems in Engineering, Volume 2019, Issue 1, 2019., 2019
In this paper, using the properties of r−Hankel and r−Toeplitz matrices, combining the properties of exponential form, we shall study the spectral norms of r−Hankel and r–Toeplitz matrices involving exponential form e(x).
Baijuan Shi, Fazal M. Mahomed
wiley   +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 Power Sums Involving Lucas Functions Sequences

Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017
We present some general formulas related to sum of powers, also with alternating sign, involving Lucas functions sequences. In particular, our formulas give a synthesis of various identities involving sum of powers of well‐known polynomial sequences such as Fibonacci, Lucas, Pell, Jacobsthal, and Chebyshev polynomials.
Stefano Barbero, Fazal M. Mahomed
wiley   +1 more source

Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
It is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant matrix and present the determinant and the inverse ...
Li Liu, Zhaolin Jiang, Zidong Wang
wiley   +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

VanderLaan Circulant Type Matrices

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g‐circulant matrices. The nonsingularity of these special matrices is discussed by the surprising properties of VanderLaan numbers. The
Hongyan Pan, Zhaolin Jiang, Shen Yin
wiley   +1 more source

On Bicomplex Jacobsthal Numbers

Communications in Mathematics and Applications, 2021
In this article, bicomplex Jacobsthal and bicomplex Jacobsthal-Lucas numbers are introduced and some properties related to them are investigated.
openaire   +3 more sources

‘A wonderful day and a wonderful crossing!’: Internment (im)mobilities, ambivalence, and the residual tourist gaze in Second World War Britain

Transactions of the Institute of British Geographers, Volume 50, Issue 3, September 2025.
Short Abstract 1940 saw the mass internment of so‐called ‘enemy aliens’ within Britain; this meant that innocent civilians were incarcerated in camps across the country, particularly within the tourist spaces of the Isle of Man. We interrogate how the holiday—as a geography of ideas, spaces, practices movements and sensibilities—became a frame of ...
Michael Holden, Peter Adey
wiley   +1 more source