Results 21 to 30 of about 102,319 (175)
A K3 surface related to Leonardo Pisano’s work on congruent numbers
Expositiones Mathematicae, 2023 This note recalls an early 13th century result on congruent numbers by Leonardo Pisano (“Fibonacci”), and shows how it relates to a specific much studied K3 surface and to an elliptic fibration on this surface. As an aside, the discussion reveals how, via explicit maps of degree two, the surface is covered by the Fermat quartic surface and also covers ...
Martin Djukanović, Jaap Top
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Introduction to generalized Leonardo-Alwyn hybrid numbers [PDF]
11 ...
Gamaliel Cerda-Morales
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Bicomplex Leonardo Numbers [PDF]
, 2022 In literature until today, many authors have studied special sequences in different number systems. In this paper, using the Leonardo numbers, we introduce the bicomplex Leonardo numbers. Also, we give some algebraic properties of bicomplex Leonardo numbers such as recurrence relation, generating function, Binet’s formula, D’Ocagne’s identity, Cassini ...
Fügen Torunbalcı Aydın
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Some results on geometric circulant matrices involving the Leonardo numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this study, by the motivation of the papers in the literature, we construct a special geometric circulant matrix Leᵣ* whose entries are the Leonardo numbers. Then, we investigate some linear algebraic properties of these matrices.
Samet Arpacı, Fatih Yılmaz
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Tri–Periodic Fibonacci Numbers and Tri–Periodic Leonardo Numbers
In this study, we explore the properties of tri-periodic Fibonacci and tri-periodic Leonardo number sequences. Then we derive generating function of these sequences and give Binet's formula for the tri-periodic Fibonacci sequence. Furthermore, we present Cassani's identity associated with tri-periodic Fibonacci sequnce.
Bahadır Yılmaz, Yüksel Soykan
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A Note on the Fuzzy Leonardo Numbers
Transactions on Fuzzy Sets and SystemsIn this work, we define a new sequence denominated by fuzzy Leonardo numbers. Some algebraic properties of this new sequence are studied and several identities are established.
Elen Viviani Pereira Spreafico +2 more
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, 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, sum formulas will also be obtained.
ÖZKALDI KARAKUŞ, Sıddıka +2 more
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A Note on Hyper-Dual Numbers with the Leonardo-Alwyn Sequence
Turkish Journal of Mathematics and Computer ScienceWe are interested in identifying hyper-dual numbers with the Leonardo-Alwyn sequence components. We investigate their homogeneous and non-homogeneous recurrence relations, the Binet’s formula, and the generating function. With these algebraic properties, we are able to obtain some special cases of hyper-dual numbers with the Leonardo-Alwyn sequence ...
Gülsüm Yeliz Saçlı, Salim Yüce
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, 2023 Abstract: In the paper, we define the $q$-Leonardo bicomplex numbers by using the $q$-integers. Also, we give some algebraic properties of $q$-Leonardo bicomplex numbers such as recurrence relation, generating function, Binet's formula, D'Ocagne's identity, Cassini's identity, Catalan's identity and Honsberger identity.
Fügen Torunbalcı Aydın
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A New Family of Number Sequences: Leonardo-Alwyn Numbers
Armenian Journal of Mathematics, 2023 In this study, we define a new type of number sequence called Leonardo-Alwyn sequence. We obtain the Binet formula, generating function and some relations for these numbers. Moreover, we give the matrix representation of the Leonardo-Alwyn numbers.
Hasan Gökbaş
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