Results 31 to 40 of about 122 (113)
The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence
Hittite Journal of Science and Engineering, 2016 In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are ...
Ahmet Daşdemir
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On Bicomplex Jacobsthal-Lucas Numbers
Journal of Mathematical Sciences and Modelling, 2020 In this study we introduced a sequence of bicomplex numbers whose coefficients are chosen from the sequence of Jacobsthal-Lucas numbers. We also present some identities about the known some fundamental identities such as the Cassini's, Catalan's and ...
Serpil Halıcı
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On fourth-order jacobsthal quaternions
Journal of Mathematical Sciences and Modelling, 2018 In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula,
Gamaliel Cerda-morales
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Some Derived Sequences of K-Jacobsthal and K-Jacobsthal Lucas
International Journal of Engineering and Advanced Technology, 2019 In this article we present incredible associated some derived sequences of – Jacobsthal and – Jacobsthal Lucas numbers and we give Diophantine triples for with the ...
T. Ragunathan, G. Srividhya
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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
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On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2019 Abstract 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
Anatriello G., Vincenzi G.
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On the pulsating Padovan sequence [PDF]
Notes on Number Theory and Discrete MathematicsA novel kind of Padovan sequence is introduced, and precise formulas for the form of its members are given and proven. Furthermore, the pulsating Padovan sequence in its most general form is introduced and the obtained identity is proved.
Orhan Dişkaya +2 more
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Sequences, Bent Functions and Jacobsthal Sums [PDF]
, 2010 The $p$-ary function $f(x)$ mapping $\mathrm{GF}(p^{4k})$ to $\mathrm{GF}(p)$ and given by $f(x)={\rm Tr}_{4k}\big(ax^d+bx^2\big)$ with $a,b\in\mathrm{GF}(p^{4k})$ and $d=p^{3k}+p^{2k}-p^k+1$ is studied with the respect to its exponential sum. In the case when either $a^{p^k(p^k+1)}\neq b^{p^k+1}$ or $a^2=b^d$ with $b\neq 0$, this sum is shown to be ...
Tor Helleseth, Alexander Kholosha
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Determinant-preserving blind signatures from Hadamard-type t-Jacobsthal–Leonardo sequences [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a new class of sequences called the termed Hadamard-type t-Jacobsthal-Leonardo sequence which is generated by applying a Hadamard-type product to the characteristic polynomials of the t-Jacobsthal and Leonardo sequences.
Elahe Mehraban +3 more
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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
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