Results 71 to 80 of about 973 (216)
A curious property of series involving terms of generalized sequences
International Journal of Mathematics and Mathematical Sciences, 2000 Here we are concerned with series involving generalized Fibonacci numbers Un (p,q) and generalized Lucas numbers Vn (p,q). The aim of this paper is to find triples (p,q,r) for which the series Un (p,q)/rn and Vn (p,q)/rn (for r running from 0 to ...
Odoardo Brugia, Piero Filipponi
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Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions [PDF]
Advances in Difference Equations, 2015 In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
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Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
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Closed forms for 10 families of finite sums of fractional generalized Fibonacci products [PDF]
, 2018 © 2018 The Fibonacci Association. All rights reserved. In this paper, we present closed forms for 10 families of finite sums where the denominator of the summand is a product of generalized Fibonacci numbers.
Melham, RS
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On hyper-dual generalized Fibonacci numbers
, 2020 In this paper, we define hyper-dual generalized Fibonacci numbers.
ÖMÜR, NEŞE, KOPARAL, SİBEL
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Complexity, Volume 2026, Issue 1, 2026.This paper describes the theory, method and customary knowledge behind the design of a global systems change network grounded in Indigenous relational processes. The project leverages nested cohorts of human and nonhuman agents, affiliated through ancient borderwork protocols within biocultural governance structures.
T. Yunkaporta +4 more
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A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully +2 more
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On Bicomplex Fibonacci Numbers and Their Generalization
, 2018 In this chapter, we consider bicomplex numbers with coefficients from Fibonacci sequence and give some identities. Moreover, we demonstrate the accuracy of such identities by taking advantage of idempotent representations of the bicomplex numbers. And then by this representation, we give some identities containing these numbers.
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady +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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