Results 1 to 10 of about 95,908 (150)
Hybrinomials related to hyper-Leonardo numbers [PDF]
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 In this paper, we define hybrinomials related to hyper-Leonardo numbers. We study some of their properties such as the recurrence relation and summation formulas.
Bahşi, Mustafa, Mersin, Efruz Özlem
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A new approach to Leonardo number sequences with the dual vector and dual angle representation [PDF]
AIMS MathematicsIn this paper, we introduce dual numbers with components including Leonardo number sequences. This novel approach facilitates our understanding of dual numbers and properties of Leonardo sequences.
Ali Atasoy, Faik Babadağ
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Introduction to generalized Leonardo-Alwyn hybrid numbers
In \cite{Go}, G\"okba\c{s} defined a new type of number sequence called Leonardo-Alwyn sequence. In this paper, we consider the generalized Leonardo-Alwyn hybrid numbers and investigate some of their properties.
Cerda-Morales, Gamaliel
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On Gaussian Leonardo Hybrid Polynomials [PDF]
, 2023 In the present paper, we first study the Gaussian Leonardo numbers and Gaussian Leonardo hybrid numbers. We give some new results for the Gaussian Leonardo numbers, including relations with the Gaussian Fibonacci and Gaussian Lucas numbers, and also give
Yaǧmur, Tülay
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Ordered Leonardo Quadruple Numbers
Symmetry, 2023 In this paper, we introduce a new quadruple number sequence by means of Leonardo numbers, which we call ordered Leonardo quadruple numbers. We determine the properties of ordered Leonardo quadruple numbers including relations with Leonardo, Fibonacci, and Lucas numbers. Symmetric and antisymmetric properties of Fibonacci numbers are used in the proofs.
Semra Kaya Nurkan, İlkay Arslan Güven
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On Hybrid Numbers with Gaussian Leonardo Coefficients
Mathematics, 2023 We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid Gaussian Leonardo numbers and obtain some of their particular properties. Furthermore, we define nn
Nagihan Kara, Fatih Yilmaz
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AIMS Mathematics, 2023 <abstract><p>This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence. Moreover, we presented a range of identities that provided deeper insights
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Earthline Journal of Mathematical Sciences, 2022 In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo sequences as special cases of the generalized Leonardo sequence. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences.
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A new perspective on bicomplex numbers with Leonardo number components
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 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, sum formulas will also be obtained.
Murat TURAN +2 more
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, 2023 In this paper, we introduce a new generalization of Leonardo numbers, which are so-called Leonardo $p$-numbers. We investigate some basic properties of these numbers. We also define incomplete Leonardo $p$-numbers which generalize the incomplete Leonardo numbers.
Tan, Elif, Leung, Ho-Hun
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