Results 11 to 20 of about 553,460 (132)
Quadratic Approximation of Generalized Tribonacci Sequences [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
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New Results on Negative-Indexed Pell Numbers via Matrix Methods
Cumhuriyet Science JournalIn this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers
İbrahim Gökcan +2 more
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Refinements of Some Recent Inequalities for Certain Special Functions [PDF]
Annales Mathematicae Silesianae, 2019 The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed +1 more
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A new perspective on bicomplex numbers with Leonardo number components [PDF]
, 2023 In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula ...
Murat TURAN +5 more
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On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers [PDF]
, 2022 We give the bicomplex Gaussian Fibonacci and the bicomplex Gaussian Lucas numbers and establish the generating functions and Binet’s formulas related to these numbers.
Özkan, Engin +3 more
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Hyper-Dual Leonardo Numbers [PDF]
, 2022 In the present paper, the hyper-dual Leonardo numbers will be introduced with the use of Leonardo numbers. Some algebraic properties of these numbers such as recurrence relation, generating function, Catalan’s and Cassini’s identity, Binet’s formula ...
Özkaldı Karakuş, Sıddıka +2 more
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Deriving a Formula in Solving Reverse Fibonacci Means
Recoletos Multidisciplinary Research Journal, 2022 Reverse Fibonacci sequence $\{J_n\}$ is defined by the relation $J_n = 8(J_{n-1} - J_{n-2})$ for $n\geq2$ with $J_0=0$ and $J_1=1$ as initial terms. A few formulas have been derived for solving the missing terms of a sequence in books and mathematical ...
Steven Elizalde, Romeo Patan
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On the Bicomplex $k$-Fibonacci Quaternions
Communications in Advanced Mathematical Sciences, 2019 In this paper, bicomplex $k$-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex $k$-Fibonacci quaternions are investigated.
Fügen Torunbalcı Aydın
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On Third Order Bronze Fibonacci Quaternions
, 2022 In this study, we define third order bronze Fibonacci quaternions. We obtain the generating functions, the Binet’s formula and some properties of these quaternions.
Jeta ALO, Alo, Jeta
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On Generalized Fibonacci Numbers
Communications in Advanced Mathematical Sciences, 2020 Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial conditions. In this paper, we
Isaac Owino Okoth, Fidel Oduol
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