Results 11 to 20 of about 1,605,720 (180)

Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

open access: yesUniversal Journal of Mathematics and Applications, 2023
In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers.
Emrah Polatlı
doaj   +2 more sources

On Harmonic Complex Balancing Numbers

open access: yesMathematics, 2022
In the present work, we define harmonic complex balancing numbers by considering well-known balancing numbers and inspiring harmonic numbers. Mainly, we investigate some of their basic characteristic properties such as the Binet formula and Cassini ...
Fatih Yılmaz   +2 more
doaj   +2 more sources

On the identity of Adelophryne pachydactyla Hoogmoed, Borges, and Cascon, 1994 (Brachycephaloidea: Eleutherodactylidae).

open access: yesZootaxa, 2018
The use of molecular data for documenting biodiversity has become more common over time as larger datasets can be generated faster. Nevertheless, studies addressing phenotypical data have not become as common. As a collateral effect, many samples used in
R. C. Dominato   +3 more
semanticscholar   +2 more sources

Horadam Octonions

open access: yesAnalele 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
doaj   +2 more sources

Quadratic Approximation of Generalized Tribonacci Sequences

open access: yesDiscussiones 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
doaj   +2 more sources

Construction of generalized bicomplex Leonardo numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In 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
doaj   +2 more sources

On the (r, p, k)-Generalized Jacobsthal Numbers and the Jacobsthal Fundamental Fibonacci System

open access: yesTrends in Computational and Applied Mathematics
The 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
doaj   +2 more sources

A different approach to Gauss Fibonacci polynomials

open access: yesContributions Discret. Math.
In this paper with the help of higher order Fibonacci polynomials, we introduce higher order Gauss Fibonacci polynomials that generalize the Gauss Fibonacci polynomials studied by Özkan and Taştan.
C. Kızılateş
semanticscholar   +4 more sources

Detection of intact amino acids with a hypervelocity ice grain impact mass spectrometer. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Astrobiology studies are a top priority in answering one of the most fundamental questions in planetary science: Is there life beyond Earth? Saturns icy moon Enceladus is a prime target in the search for life in our solar system, identified by NASA as ...
Burke SE   +3 more
europepmc   +2 more sources

On Some Properties of Bihyperbolic Numbers of The Lucas Type

open access: yesCommunications in Advanced Mathematical Sciences, 2023
To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
doaj   +1 more source

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