Results 11 to 20 of about 365 (120)
One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers
Annales Mathematicae Silesianae, 2023 In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota +2 more
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Towards a new generalized Simson’s identity [PDF]
Notes on Number Theory and Discrete MathematicsThis paper is an attempt to develop an elegant and simple generalization of what is usually called Simson’s Identity, with variations named after Cassini, Catalan and Gelin-Cesàro.
A. G. Shannon +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence.
Karataş Adnan, Halici Serpil
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On a generalization of the Gadovan numbers [PDF]
Mathematica MoravicaIn this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity,
Özkan Engın, Eser Engın, Uysal Mıne
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Quadratic Approximation of Generalized Tribonacci Sequences
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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Construction of generalized bicomplex Leonardo numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a new class of bicomplex numbers whose components are expressed in terms of bicomplex Leonardo numbers. The motivation for this study arises from the growing interest in generalizations of well-known integer sequences within ...
Murat Turan +1 more
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Cassini, d'Ocagne, and Vajda identities for n-step Fibonacci numbers
, 2022 Results of this paper concern $n$-determinants which we defined in the paper \cite{jan}. In the paper \cite{jabo}, $2$-determinants are considered. In this paper, we extend results from \cite{jabo} on $n$-determinants by proving that Cassini, d'Ocagne, Catalan and Vajda identities may be extended to hold for $n$-step Fibonacci numbers.
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Posthumously Diagnosed Myhre Syndrome Presenting With Pleural Remodeling and Endometrial Cancer
American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.ABSTRACT Myhre syndrome (OMIM 139210) is a genetic condition defined by neurodevelopmental disability, characteristic facial features, and multisystem proliferative fibrosis. While various types of lung disease have been reported, pleural remodeling leading to restrictive lung disease has not yet been described.
Jeanette Saffir +6 more
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On the (r, p, k)-Generalized Jacobsthal Numbers and the Jacobsthal Fundamental Fibonacci System
Trends in Computational and Applied MathematicsThe main goal of this paper is to study the model of the sequences of (r, p, k)-generalized Jacobsthal numbers, by the approach based on the properties of its associated Jacobsthal fundamental Fibonacci system and its fundamental sequence.
M. Rachidi, F. Yilmaz
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Fiboquadratic Sequences and Extensions of the Cassini Identity Raised From the Study of Rithmomachia
, 2015 18 pages, 4 figures, 6 ...
Guardia, Tomás, Jiménez, Douglas
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