Results 71 to 80 of about 3,822 (183)
The Third Order Jacobsthal Octonions: Some Combinatorial Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
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An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the natural sciences to the physical sciences, and from technical education to fine arts education.
K. M. Abirami +4 more
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On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers
Discrete Dynamics in Nature and Society, 2016 This paper is concerned with periods of Biperiodic Fibonacci and Biperiodic Lucas sequences taken as modulo prime and prime power. By using Fermat’s little theorem, quadratic reciprocity, many results are obtained.
Dursun Tascı, Gul Ozkan Kızılırmak
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International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.Some boundedness and convergence properties of generalized Fibonacci’s‐type recurrences and their associated iterated recurrence ratios between pairs of consecutive terms are discussed under a wide number of initial conditions. Also, a more general, so‐called (k, q) Fibonacci’s recurrence and the associated Fibonacci’s ratio recurrences are ...
Manuel De la Sen, V. Ravichandran
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A quantum calculus framework for Gaussian Fibonacci and Gaussian Lucas quaternion numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn order to investigate the relationship between Gaussian Fibonacci numbers and quantum numbers and to develop both a deeper theoretical understanding in this study, q-Gaussian Fibonacci, q-Gaussian Lucas quaternions and polynomials are taken with ...
Bahar Kuloğlu
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On the Relations between Lucas Sequence and Fibonacci-like Sequence by Matrix Methods [PDF]
International Journal of Mathematical Sciences and Computing, 2017 In the present paper first and foremost we introduce a generalization of a classical Fibonacci sequence which is known as Fibonacci-Like sequence and at hindmost we obtain some relationships between Lucas sequence and Fibonacci-Like sequence by using two cross two matrix representation to the Fibonacci-Like sequence.
Arfat Ahmad Wani, V. H. Badshah
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Journal of Mathematics, Volume 2024, Issue 1, 2024.Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence.
Tülay Erişir, Serkan Araci
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A trick around Fibonacci, Lucas and Chebyshev
, 2013 In this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence.
Lachal, Aimé
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Fibonacci and Lucas sequences at negative indices
, 2014 This study investigate the Fibonacci and Lucas sequences at neg- ative indices. In this paper we give the formulas of F????(nk+r) and L????(nk+r) depending on whether the indices are odd or even. For this purpose we con- sider a special matrix and we give various combinatorial identities related with the Fibonacci and Lucas sequences by using the ...
Halıcı, Serpil, Akyüz, Zeynep
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Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This research paper introduces the novel subclass ϒΣϑ,β,μq˜ of bi‐univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient |a2| and the third coefficient |a3| for functions within this specific subclass.
Ala Amourah +4 more
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