Results 21 to 30 of about 461 (158)
Symmetric and generating functions of generalized (p,q)-numbers [PDF]
, 2021 In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Abdelhamid Abderrezzak +2 more
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On a New One Parameter Generalization of Pell Numbers
Annales Mathematicae Silesianae, 2019 In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers.
Bród Dorota
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Bivariate Leonardo polynomials and Riordan arrays [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, bivariate Leonardo polynomials are defined, which are closely related to bivariate Fibonacci polynomials. Bivariate Leonardo polynomials are generalizations of the Leonardo polynomials and Leonardo numbers.
Yasemin Alp, E. Gökçen Koçer
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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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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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The Generalization of Gaussians and Leonardo’s Octonions
Annales Mathematicae Silesianae, 2023 In order to explore the Leonardo sequence, the process of complex-ification of this sequence is carried out in this work. With this, the Gaussian and octonion numbers of the Leonardo sequence are presented.
Vieira Renata Passos Machado +3 more
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An Alternate Approach to Alternating Sums: A Method to DIE for [PDF]
, 2008 No abstract provided in this ...
Benjamin, Arthur T., Quinn, Jennifer J.
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Dual-Gaussian Pell and Pell-Lucas numbers
Cumhuriyet Science Journal, 2022 In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell
Hasan Gökbaş
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A Cybernetics Update for Competitive Deep Learning System [PDF]
, 2015 A number of recent reports in the peer-reviewed literature have discussed irreproducibility of results in biomedical research. Some of these articles suggest that the inability of independent research laboratories to replicate published results has a ...
Fiorini, Rodolfo
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Theory of Binet formulas for Fibonacci and Lucas p-numbers
Chaos, Solitons & Fractals, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stakhov, Alexey, Rozin, Boris
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