Results 31 to 40 of about 1,240,504 (163)
Mathematics OpenThe purpose of this paper is to investigate the bounds of the spectral norms of some circulant matrices whose elements are a generalization of Jacobsthal–Lucas numbers called bi-periodic Jacobsthal–Lucas numbers by three different ways.
Sukran Uygun
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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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Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator
International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
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Jacobsthal Representation Hybrinomials
Annales Mathematicae Silesianae, 2022 Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type.
Liana Mirosław +2 more
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The Complex‐Type k‐Pell Numbers and Their Applications
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, a new sequence called the complex‐type k‐Pell number is defined. Also, we give properties of this sequence such as the generating matrix, the generating function, the combinatorial representations, the exponential representation, the sums, the permanental and determinantal representations, and the Binet formula.
Yeşim Aküzüm, Xiaogang Liu
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Symmetric and generating functions of generalized (p,q)-numbers
Kuwait Journal of Science, 2021 In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba +2 more
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Coprime mappings and lonely runners
Mathematika, Volume 68, Issue 3, Page 784-804, July 2022., 2022 Abstract For x real, let {x}$ \lbrace x \rbrace$ be the fractional part of x (that is, {x}=x−⌊x⌋$\lbrace x\rbrace = x - \lfloor x \rfloor$). The lonely runner conjecture can be stated as follows: for any n positive integers v1
Tom Bohman, Fei Peng
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On Gaussian Jacobsthal-Padovan Numbers
Cumhuriyet Science Journal, 2022 Gaussian Jacobsthal-Padovan numbers have been the central focus of this paper and firstly this number sequence has defined. Later, we have given the proof of the generating function of the Gaussian Jacobsthal-Padovan sequence.
Nusret Karaaslan
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On New Polynomial Sequences Constructed to Each Vertex in an n‐Gon
Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022 In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n‐gon. We compute the relation among the polynomials with such vertices. Moreover, in an n‐gon, we generate a recurrence relation for a sequence giving the mth term formed at the kth ...
Abdul Hamid Ganie +4 more
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Some identities for generalized Fibonacci and Lucas numbers
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper we study one parameter generalization of the Fibonacci numbers, Lucas numbers which generalizes the Jacobsthal numbers, Jacobsthal–Lucas numbers simultaneously. We present some their properties and interpretations also in graphs.
Anetta Szynal-Liana +2 more
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