Results 61 to 70 of about 1,206 (140)
Research on the Spinors of Jacobsthal and Jacobsthal–Lucas Hybrid Number Polynomials
MathematicsBy drawing on the concepts of Jacobsthal polynomials, Jacobsthal–Lucas polynomials, and hybrid numbers, this paper constructs, for the first time, a novel class of mathematical objects with recursive properties—namely, the sequences of Jacobsthal and ...
Yong Deng, Yanni Yang
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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 +2 more
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On The Jacobsthal Numbers By Matrix Method
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2012 : In this paper we consider the usual Jacobsthal numbers. We investigate the identities between the Jacobsthal numbers and matrices, which are introduced for the first time in this paper. We also present a new complex sum formula.
Ahmet Daşdemir
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Identities relating six members of the Fibonacci family of sequences
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
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The Adjacency-Jacobsthal-Hurwitz type numbers
Filomat, 2018 In this paper, we define the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind. Then we give the exponential, combinatorial, permanental and determinantal representations and the Binet formulas of the adjacency-Jacobsthal-Hurwitz numbers of the first and second kind by the aid of the generating functions and the generating
Deveci, Ömür, Aküzüm, Yeşim
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Mersenne-Horadam identities using generating functions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
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Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers
Annales Mathematicae Silesianae, 2019 In this paper, we obtain a closed form for F?i=1k${F_{\sum\nolimits_{i = 1}^k {} }}$, P?i=1k${P_{\sum\nolimits_{i = 1}^k {} }}$and J?i=1k${J_{\sum\nolimits_{i = 1}^k {} }}$ for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and ...
Bilgici Göksal, Şentürk Tuncay Deniz
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, 2015 Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Shurong Sun +3 more
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Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers
International Journal of Applied Mathematical Research, 2012 In this paper, we present identities involving common factors of generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
V. K. Gupta, Yashwant Kumar Panwar
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International Journal of Analysis and Applications, 2013 In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Yashwant K. Panwar +2 more
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