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The binomial transforms of the generalized (s,t)-Jacobsthal matrix sequence [PDF]
International Journal of Advances in Applied Mathematics and Mechanics, 2019 Sukran UYGUN
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Bivariate Jacobsthal and bivariate Jacobsthal-Lucas matrix polynomial sequences
Journal of Mathematical and Computational Science, 2018 openaire +1 more source
The (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas sequences
Applied Mathematical Sciences, 2015 openaire +1 more source
Binominal transforms of k-Jacobsthal sequences
Journal of Mathematical and Computational Science, 2017 openaire +1 more source
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The adjacency-Jacobsthal-Hurwitz sequences in groups
Communications in Algebra, 2018In [3], Deveci and Akuzum defined the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind. In this work, firstly we produce the cyclic groups from the multiplicative orders of the generating matrices of the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind when read modulo and we study the adjacency-Jacobsthal-Hurwitz ...
Omur Deveci, Erdal Karaduman
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The adjacency-Jacobsthal-circulant sequence in groups
AIP Conference Proceedings, 2017In this work, we study the adjacency-Jacobsthal-circulant sequence modulo α and we obtain the cyclic groups from the generating matrix of the adjacency-Jacobsthal-circulant numbers when read modulo α. Then, we derive the relationship among the periods of the adjacency-Jacobsthal-circulant sequence modulo α and the orders of the cyclic groups obtained ...
Omur Deveci, Deveci Omur
exaly +2 more sources
Integration Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials
1999Here we are concerned with the Jacobsthal polynomials J n(x) and the Jacobsthal-Lucas polynomials j n(x) (e.g., see [4] and [5]) which are a natural extension of the Jacobsthal numbers J n and the Jacobsthal-Lucas numbers j n which, in turn, have been investigated in [3]. These polynomials are defined by the second-order recurrence relations $$J_{n+
Piero Filipponi, Alwyn F. Horadam
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On Jacobsthal–Narayana and Jacobsthal-Narayana-Lucas Sequences
2022This paper introduces two new integer sequences that are the third-order recurrence relations. These are called Jacobsthal–Narayana and Jacobsthal-Lucas-Narayana sequences. In particular, great attention is focused on the identification of the Binet type representations for our new sequence, including the generating functions, some important identities,
Jafari Petroudi, Seyyed Hossein +2 more
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